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Peter needs to buy birdseed to last a week. He knows that each parakeet eats 2 grams a day. His parrots eat 14 grams a day. His finches eat half of what a parakeet eats. If he has 3 parakeets, 2 parrots and 4 finches, how many grams of birdseed does he need to buy? Thoughts? Step-by-step reasoning: | His parakeets eat 6 grams a day, because three parakeets times two grams each equals 6 grams. His parrots will eat 28 grams a day because two parrots times 14 grams equals 28 grams. Each finch will eat 1 gram a day, because they eat half of what a parakeet does and 1 / 2 of 2 equals one. His finches will eat 4 grams a day because four finches times 1 gram equals 4 grams. His birds eat 38 grams a day because 6 plus 28 plus 4 equals 38. Each week has 7 days. Therefore, in a week he will need 266 grams because 7 times 38 equals 266. Thus, the answer is 266. |
Jason spent 1/4 of his money and an additional $10 on some books. He then spent 2/5 of the remaining money and an additional $8 on some DVDs. If he was left with $130, how much money did he have at first? Think carefully first, then make a decision: | Let X be the money Jason had at first. Jason spent 1 / 4 * X + 10 on books. Jason spent 2 / 5 * [X - (1 / 4 * X + 10)] + 8 on some DVDs. Jason has X - (1 / 4 * X + 10) - ⁇ 2 / 5 * [X - (1 / 4 * X + 10)] + 8 ⁇ = $130 left. X - 1 / 4 * X - 10 - 2 / 5 * X + 1 / 10 * X + 4 - 8 = $130. 9 / 20 * X - 14 = $130. X = $320. So, the answer is 320. |
Give some stream of consciousness and then the answer. Hispaniola is the second-largest island in the Caribbean (after Cuba), with an area of 76,192 square kilometers (29,418 sq mi), 48,440 square kilometers (18,700 sq mi) of which is under the sovereignty of the Dominican Republic occupying the eastern portion and 27,750 square kilometers (10,710 sq mi) under the sovereignty of Haiti occupying the western portion. Based on this passage, what is the name of the island of haiti and dominican republic? | To answer the question, consider the following: Hispaniola is the second-largest island in the Caribbean (after Cuba), with an area of 76,192 square kilometers (29,418 sq mi), 48,440 square kilometers (18,700 sq mi) of which is under the sovereignty of the Dominican Republic occupying the eastern portion and 27,750 square kilometers (10,710 sq mi) under the sovereignty of Haiti occupying the western portion. Therefore, the answer is Hispaniola. |
Three-quarters of the oil from a 4000-liter tank (that was initially full) was poured into a 20000-liter capacity tanker that already had 3000 liters of oil. How many more liters of oil would be needed to make the large tanker half-full? Let's be accurate as possible. | Three - quarters of oil from the initially full 4000 - liter tank would be 4000 * (3 / 4) = 3000 liters. In addition to the 3000 liters that were already in the large tanker, there are 3000 + 3000 = 6000 liters in it now. The tanker would be filled to half capacity by (1 / 2) * 20000 = 10000 liters of oil. There are 10000 - 6000 = 4000 liters left to reach half capacity. The answer: 4000. |
Question: At A.T. Cross Luxury Pens, a pencil sells at twenty-five cents while a pen sells at fifteen cents. Bowen buys 40 pens and 2/5 times more pencils than pens from A.T. Cross Luxury Pens. Calculate the total amount of money Bowen spends. Think carefully first, then make a decision: | Bowen bought 2 / 5 * 40 pens = 16 more pencils than pens. The total number of pencils that he bought is 40 pencils + 16 pencils = 56 pencils. If each pencil costs twenty - five cents, the total amount of money he spent on pencils is 56 pencils * $0.25 / pencil = $14. On pens, Bowen spent $0.15 / pen * 40 pens = $6. The total amount of money Bowen spent is $14 + $6 = $20. So the answer is 20. |
Question: James has a small tree outside his window with 30 branches with 90 twigs per branch. 30% of the twigs sprout 4 leaves and the rest sprout 5 leaves. How many leaves are on the tree total? Think carefully first, then make a decision: | First find the total number of twigs on the tree: 30 branches * 90 twigs / branch = 2700 twigs. Then multiply that number by 30% to find how many twigs have 4 leaves: 2700 twigs * 30% = 810 twigs. Then subtract that number from the total number of twigs to find how many have 5 leaves: 2700 twigs - 810 twigs = 1890 twigs. Then multiply that number by 5 to find the number of leaves on the 5 - leaved twigs: 1890 twigs * 5 leaves / twig = 9450 leaves. Then multiply the number of 4 - leaved twigs by 4 to find the total number of leaves they have: 810 twigs * 4 leaves / twig = 3240 leaves. Then add the two groups of leaves to find the total number of leaves: 9450 leaves + 3240 leaves = 12690 leaves. So the answer is 12690. |
Zion made a triangular-shaped house of cards with the base having a measurement of 40 centimeters and a height of 20 centimeters. If two of his friends also built similar shaped houses, what's the total area of the triangular houses that Zion and his friends made (the area of a triangle is 1/2 * width * height)? Let's think first. Chain of thought: | Since the area of a triangle is given by 1 / 2 base * height, the area of the triangular - shaped house of cards that Zion made is 1 / 2 * 40 * 20 = 400 square centimeters. If two of his friend also built similar shaped houses, the total area of their triangular - shaped house of cards is 400 + 400 = 800 square centimeters. Together with Zion, they all built triangular - shaped houses of cards with a combined area of 800 + 400 = 1200 square centimeters. Therefore, the answer is 1200. |
Walmart sells a multitool with a screwdriver, 3 knives, and two other tools. Target sells a multitool with a screwdriver, twice as many knives as Walmart, three files and a pair of scissors. How many more tools does the Target multitool have compared to Walmart? Let's be accurate as possible. | First find the total number of tools in the Walmart multitool: 1 tool + 3 tools + 2 tools = 6 tools. Then find the total number of knives in the Target multitool: 3 knives * 2 = 6 knives. Then find the total number of tools in the Target multitool: 1 tool + 6 tools + 3 tools + 1 tool = 11 tools. Then subtract the number of tools in the Walmart multitool from the number in the Target multitool to find the difference: 11 tools - 6 tools = 5 tools. The answer: 5. |
Give the step-by-step reasoning process and then the final answer. The Franzia wine is three times as old as the Carlo Rosi, while the Carlo Rosi is four times older than the Twin Valley. Calculate the total age of the three brands of wine if the Carlo Rosi is 40 years old. | If the Franzia wine brand is three times as old as the Carlo Rosi, then the Carlo Rosi is 3 * 40 = 120 years old. The total number of years the Carlo Rosi and the Franzia wine brands have been around is 120 + 40 = 160 years. The Carlo Rosi is four times older than the Twin Valley wine brand, meaning the Twin valley wine brand is 40 / 4 = 10 years old. Together, the three bands have a total of 10 + 160 = 170 years of existence. The final answer: 170. |
Give the step-by-step reasoning process and then the final answer. Mark wants to order a pair of slippers for his wife with her initials embroidered on top. The slippers are currently $50.00 and are 10% off. The embroidery will be $5.50 per shoe and shipping is a flat rate of $10.00. How much will the slippers cost? | The slippers are $50.00 and currently 10% off so that’s 50 * .10 = $5.00 discount. The slippers are $50.00 with a $5.00 discount which makes them 50 - 5 = $45.00. The embroidery will be $5.50 per shoe, and 2 shoes make a pair so it will cost 5.50 * 2 = $11.00. The shoes are on sale for $45.00, the embroidery will be $11.00 and the shipping is $10.00 for a total of 45 + 11 + 10 = $66.00. The final answer: 66. |
A rectangular plot of private property is fenced in by a chain-link fence. The long sides of the plot are three times the length of the short sides. One short side of the fence is rusted from being hit by a sprinkler and needs to be replaced. If all the sides of the fence together are 640 feet long, how many feet of fence need to be replaced? Give me reasons, before answering the question | Let S be the length of the short side of the fence. Thus, the length of a long side of the fence is 3S. There are 2 of each side, so the whole fence is 2S + 2 * 3S = 2S + 6S = 8S long. The whole fence is 8S = 640 feet long. Thus, the short side of the fence that needs to be replaced is S = 640 / 8 = 80 feet long. So the final answer is 80. |
Wally buys bears at the park. A bear is priced at $4.00 for the first bear and a discount of 50 cents per bear is given after that. How much does Wally pay for 101 bears? Think carefully first, then make a decision: | If the price of an additional bear drops by fifty after the first purchase, the price of each additional bear is $4.00 - $0.50 = $3.50. Since Wally bought 101 bears, he was charged fifty cents less on 101 - 1 = 100 bears. The total cost for the 100 bears is 100 * $3.50 = $350. For the 101 bears, Wally paid a total of $350 + $4 = $354. So, the answer is 354. |
Milly's babysitter charges $16/hour. Milly is considering switching to a new babysitter who charges $12/hour, but also charges an extra $3 for each time the kids scream at her. If Milly usually hires the babysitter for 6 hours, and her kids usually scream twice per babysitting gig, how much less will the new babysitter cost? Let's be accurate as possible. | First figure out how much the first babysitter costs by multiplying her hourly rate by the number of hours she works: $16 / hour * 6 hours = $96. Then use the same method to figure out how much the second babysitter charges before any screaming: $12 / hour * 6 hours = $72. Then figure out how much the babysitter charges for two screams: 2 screams * $3 / scream = $6. Finally, subtract the second babysitter's two charges from the first babysitter's total charge to find the difference: $96 - $72 - $6 = $18. The answer: 18. |
Vermont opened up 4 web pages on his web browser and found 12 ads on the first web page and twice as many ads on the second web page as the first web page. When he opened the third web page, he found 24 more ads than the number of ads on the second web page. If the fourth web page had 3/4 times as many ads as the second web page, calculate the total number of ads Vermont clicked on if he clicked on 2/3 of them. Think carefully first, then make a decision: | If Vermont found 12 ads on the first web page and twice as many ads on the second web page as the first web page, he found 12 * 2 = 24 ads on the second web page. The first and the second web page had a total of 12 + 24 = 36. Vermont also found 24 more ads on the third web page than the second web page, a total of 24 + 24 = 48 ads. The first three web pages had 48 + 36 = 84 ads. The fourth web page had 3 / 4 times as many ads as the second web page, a total of 3 / 4 * 24 = 18 ads. In all the web pages Vermont opened, he found 84 + 18 = 102 ads. If he clicked on 2 / 3 of them, he clicked on 2 / 3 * 102 = 68 ads. So, the answer is 68. |
Give the step-by-step reasoning process and then the final answer. Ryan's party was 4 times as huge as Taylor's birthday party. If both parties combined had 240 people, how many people were there at Ryan's party? | To get the number of people at Taylor's party, we'll assume there were n people at his party. The total number of people at Ryan's party is 4 * n, four times the number of attendees at Taylor's party. Combined, there were 4n + n = 240 people at both parties. This translates to 5n = 240. The total number of people at Taylor's party is n = 240 / 5. There were n = 48 people at Taylor's party. Since Ryan's party was 4 times as huge as Taylor's party, at Ryan's party, there were 48 * 4 = 192 people. The final answer: 192. |
Andy gets a cavity for every 4 candy canes he eats. He gets 2 candy canes from his parents and 3 candy canes each from 4 teachers. Then he uses his allowance to buy 1/7 as many candy canes as he was given. How many cavities does he get from eating all his candy canes? Give me reasons, before answering the question | First find how many candy canes Andy gets from his teachers: 3 canes / teacher * 4 teachers = 12 canes. Then add the number of candy canes he gets from his parents: 12 canes + 2 canes = 14 canes. Then divide that number by 7 to find the number of canes he buys: 14 canes / 7 = 2 canes. Then add the number of candy canes he gets from each source to find the total number: 2 canes + 14 canes = 16 canes. Then divide the total number of candy canes by the number of candy canes it takes to get one cavity to find the number of cavities Andy gets: 16 canes / 4 canes / cavity = 4 cavities. So the final answer is 16. |
James is trying to avoid eating too much sodium. He's making a recipe that calls for 2 teaspoons of salt and 8 oz of parmesan cheese. Salt has 50 mg of sodium per teaspoon and parmesan has 25 mg of sodium per oz. If he can't reduce the salt, how many fewer ounces of parmesan cheese does he need to use to reduce the total amount of sodium by 1/3rd? Let's be accurate as possible. | First find how much sodium the parmesan has in total by multiply the amount of sodium per ounce by the number of oz: 25 mg / oz * 8 oz = 200 mg. Then use the same process to find how much sodium is in the salt: 50 mg / tsp * 2 tsp = 100 mg. Then find the total sodium in the recipe by adding the sodium from the cheese and the salt: 100 mg + 200 mg = 300 mg. Then multiply the total amount of sodium by 1 / 3 to find how much less sodium James wants: 300 mg * 1 / 3 = 100 mg. Then divide this amount by the amount of sodium per ounce of cheese to find how many fewer ounces of cheese he needs: 100 mg / 25 mg / oz = 4 oz. The answer: 4. |
A can do a piece of work in 4 hours; B and C together can do it in 3 hours, which A and C together can do it in 2 hours. How long will B alone take to do it? Options: (A) 1/19 (B) 1/11 (C) 1/12 (D) 1/17 (E) 1/14 Let's think first. Stream of consciousness: | A's 1 hour work = 1/4; (B + C)'s 1 hour work = 1/3; (A + C)'s 1 hour work = 1/2 (A + B + C)'s 1 hour work = (1/4 + 1/3) = 7/12 B's 1 hour work = (7/12 + 1/2) = 1/12 B alone will take 12 hours to do the work. So, the answer is (C). |
Q: Context: The Veterans Health Administration (VHA) is the component of the United States Department of Veterans Affairs (VA) led by the Under Secretary of Veterans Affairs for Health that implements the medical assistance program of the VA through the administration and operation of numerous VA Medical Centers (VAMC), Outpatient Clinics (OPC), Community Based Outpatient Clinics (CBOC), and VA Community Living Centers (VA Nursing Home) Programs. Question: does va stand for veterans administration or veterans affairs? Let's give stream of consciousness first: | The relevant information to answer the above question is: The Veterans Health Administration (VHA) is the component of the United States Department of Veterans Affairs (VA) led by the Under Secretary of Veterans Affairs for Health that implements the medical assistance program of the VA through the administration and operation of numerous VA Medical Centers (VAMC), Outpatient Clinics (OPC), Community Based Outpatient Clinics (CBOC), and VA Community Living Centers (VA Nursing Home) Programs. Therefore, the final answer is Veterans Affairs. |
Alyssa, Keely, and Kendall ordered 100 chicken nuggets from a fast-food restaurant. Keely and Kendall each ate twice as many as Alyssa. How many did Alyssa eat? Let's answer step by step: | To figure out this problem we need to turn it into an equation. Let’s make A the number of nuggets Alyssa ate. We know all three girls ate 100 nuggets total, so 100 nuggets = A (how many Alyssa ate) + 2A (how many Keely ate) + 3A (how many Kendall ate) or 100 = A + 2A + 3A which is 100 = 5A. Then we will divide each side by 5 to figure out how many nuggets Alyssa ate, 100 / 5 = 5A / 5 or 20 = A. The answer: 20. |
Lizzy: Lucy lost one-third of her money. She then spent one-fourth of the remainder, and only left with $15. How much money did Lucy have at the beginning?. Me: Hmmm, let me think. I think this is the detailed solution: | The $15 is 1 - 1 / 4 = 3 / 4 of the money left. Since 3 / 4 is equal to $15, then 1 / 4 is equal to $15 / 3 = $5. So Lucy had $5 x 4 = $20 left after losing 1 / 3 of her money. Hence, $20 is 1 - 1 / 3 = 2 / 3 of the money that Lucy had at the beginning. Since 2 / 3 is equal to $20, then 1 / 3 is equal to $20 / 2 = $10. Therefore, Lucy had $10 x 3 = $30 at the beginning. Final answer: 30. |
Lizzy: There's a Bobbit worm hiding in the bottom of James' aquarium. Every day it eats 2 fish. After two weeks, James adds 8 more fish to the aquarium. A week later, he discovers the Bobbit worm. If the aquarium had 60 fish to start with, how many does it have when James discovers the Bobbit worm?. Me: Hmmm, let me think. I think this is the detailed solution: | First find the total number of weeks the Bobbit worm preys on the fish: 2 weeks + 1 week = 3 weeks. Then multiply that number by the number of days per week: 3 weeks * 7 days / week = 21 days. Then multiply that number by the number of fish the worm eats per day to find how many fish it eats total: 21 days * 2 fish / day = 42 fish. Then add the number of fish James adds to the starting number of fish to find the ending number of fish: 60 fish + 8 fish = 68 fish. Then subtract the number of eaten fish to find the number of surviving fish: 68 fish - 42 fish = 26 fish. Final answer: 26. |
To get to work, Ryan bikes one day a week takes the bus three times a week and gets a ride from a friend once a week. It takes him thirty minutes to bike to work. The bus takes ten minutes longer since it stops at every bus stop for other passengers. His friend driving him is the fastest and cuts two-thirds off his biking time. How many minutes does he spend every week commuting to work? Let's answer step by step: | The bus to Ryan’s work takes 10 minutes longer than his bike ride, so it takes 10 + 30 = 40 minutes. Ryan takes the bus 3 times a week, so the bus rides take 40 * 3 = 120 minutes a week. His friend cuts two - thirds off his biking time, which is 2 / 3 * 30 = 20 minutes a week. This means his friend takes 30 - 20 = 10 minutes to drive him. Therefore, Ryan spends 120 + 10 + 30 = 160 minutes every week commuting to work. The answer: 160. |
Question: How many 5 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a consonant and the last letter has to be a consonant, and each letter can be used only once? Options: (A) 21 (B) 42 (C) 1500 (D) 600 (E) 720 Random thoughts: | Vowel: E O Consonants: V R M N T First letter can be filled in 5 Ways ( As the question states that first letter has to be a consonant) Fifth letter can be filled in 4 Ways ( As the question states that the last letter has to be a consonant) Now since each letter can be used only once, and 2 letters out of 7 letters are already used in First and Fifth letter Second letter can be filled in 5 Ways Third letter can be filled in 4 Ways Fourth letter can be filled in 3 Ways So, Total number of ways = 5 Ways x 5 Ways x 4 ways x 3 ways x 5 ways = 1500 The final answer: (C). |
The design of the Eiffel Tower was the product of Maurice Koechlin and Émile Nouguier, two senior engineers working for the Compagnie des Établissements Eiffel, after discussion about a suitable centrepiece for the proposed 1889 Exposition Universelle, a world's fair to celebrate the centennial of the French Revolution. Eiffel openly acknowledged that inspiration for a tower came from the Latting Observatory built in New York City in 1853. In May 1884, working at home, Koechlin made a sketch of their idea, described by him as "a great pylon, consisting of four lattice girders standing apart at the base and coming together at the top, joined together by metal trusses at regular intervals". Eiffel initially showed little enthusiasm, but he did approve further study, and the two engineers then asked Stephen Sauvestre, the head of company's architectural department, to contribute to the design. Sauvestre added decorative arches to the base of the tower, a glass pavilion to the first level, and other embellishments. What was the reason for the eiffel tower? Let's have some stream of consciousness first. | To answer this question, we should know that: The design of the Eiffel Tower was the product of Maurice Koechlin and Émile Nouguier, two senior engineers working for the Compagnie des Établissements Eiffel, after discussion about a suitable centrepiece for the proposed 1889 Exposition Universelle, a world's fair to celebrate the centennial of the French Revolution. So, the answer is a suitable centrepiece for the proposed 1889 Exposition Universelle , a world 's fair to celebrate the centennial of the French Revolution. |
My question is: Mr Castiel prepared 600 boar sausages on the weekend. He ate 2/5 of them on Monday, half of the remaining on Tuesday and saved the rest for Friday. If he ate 3/4 of the remaining boar sausages on Friday, how many sausages are left? Your thoughts: | On Monday, Mr Castiel ate 2 / 5 * 600 = 240 sausages. The remaining number of sausages after he ate 240 on Monday is 600 - 240 = 360. On Tuesday, he ate half of the remaining sausages, a total of 360 / 2 = 180. The remaining number of sausages that he saved for Friday after eating 180 on Tuesday is 360 - 180 = 180. On Friday, Mr Castiel ate 3 / 4 * 180 = 135 of the sausages he had kept. The remaining number of sausages after he ate 135 on Friday is 180 - 135 = 45. The final answer: 45. |
Give some stream of consciousness and then the answer. If donor hair numbers from the back of the head are insufficient, it is possible to perform body hair transplantation (BHT) on appropriate candidates who have available donor hair on the chest, back, shoulders, torso and / or legs. Body hair transplant surgery can only be performed by the FUE harvesting method and, so, requires the skills of an experienced FUE surgeon. However, there are several factors for a potential BHT candidate to consider prior to surgery. These include understanding the natural difference in textural characteristics between body hair and scalp hair, growth rates, and having realistic expectations about the results of BHT surgery. Based on this passage, where does the hair from a hair transplant come from? | To answer this question, we should know that: If donor hair numbers from the back of the head are insufficient, it is possible to perform body hair transplantation (BHT) on appropriate candidates who have available donor hair on the chest, back, shoulders, torso and / or legs. Therefore, the answer is If donor hair numbers from the back of the head are insufficient , it is possible to perform body hair transplantation ( BHT ) on appropriate candidates who have available donor hair on the chest , back , shoulders , torso and / or legs. |
If it takes 10 people 10 days to shovel 10,000 pounds of coal, how many days will it take half of these ten people to shovel 40,000 pounds of coal? Let's think first. Chain of thought: | The 10 people shovel 10,000 pounds per 10 days, or 10,000 / 10 = 1000 pounds per day per 10 people. And 1000 pounds per day per 10 people is 1000 / 10 = 100 pounds per day per person. Half of ten people is 10 / 2 = 5 people. At 100 pounds per day per person, 5 people can shovel 5 * 100 = 500 pounds per day. Therefore, for 5 people to shovel 40,000 pounds, it will take 40,000 / 500 = 80 days. Therefore, the answer is 80. |
Use stream of consciousness to answer the following. No. in series No. in season Title Directed by Written by Original air date Production code 47 "Fun with Dick and Janet (Part 1)" (Part 3) Terry Hughes Bob Kushell & Mark Brazill September 24, 1997 (1997-09-24) 301 Harry, Sally and Tommy return to Earth, but are forced to bring along the Big Giant Head's niece (Roseanne Barr), who is assigned to act as Dick's wife in order to keep his focus on the mission and off Mary. To make matters worse, the police suspect that aliens might have landed in Rutherford and have sent Officer Don to investigate. 48 "Fun with Dick and Janet (Part 2)" (Part 4) Terry Hughes John Lithgow September 24, 1997 (1997-09-24) 302 Dick comes up with a plan to get his new wife to leave him-by turning himself into the worst possible husband anyone could have. This does n't work, and despite all his attempts to keep his wife secret, Mary soon finds out and breaks up with him, furious. (Absent: Elmarie Wendel as Mrs. Dubcek) 49 "Tricky Dick" Terry Hughes Bob Kushell & Christine Zander October 8, 1997 (1997-10-08) 305 Still bitter after their break-up, Dick and Mary begin a childish prank war against each other to try to prove, ironically, who is the biggest adult in the office. Sally attends yoga classes with Mary, where she begins to take a liking to her instructor (Leigh McCloskey). At home, Tommy and his friends have formed a garage band and are practicing in the garage, while Harry wants desperately to be their roadie. 50 "Dick-in-Law" Terry Hughes Michael Glouberman & Andrew Orenstein October 15, 1997 (1997-10-15) 304 Mary is unable to tell her bitter, condescending parents (Elaine Stritch and George Grizzard) that another relationship has fallen through, and so invites Dick to meet her parents under the pretense that they are still to be married. Dick is quick to accompany her, thinking that if he can win her parents' hearts, he might win back Mary's. Back in Rutherford, Sally, Harry, and Tommy help Nina move out of her apartment, before Sally decides that she'd like to move in. 51 5 "Scaredy Dick" Terry Hughes Bill Martin & Mike Schiff October 29, 1997 (1997-10-29) 306 Dick goes for a medical checkup but becomes scared and leaves before his appointment. Mary asks Sally and Tommy to house sit for her on Halloween in order to stop trick-or-treaters (including Emile Hirsch) egging her home while she is out. Harry, however, chooses to stay at home, where he encounters some very strange noises and starts to believe that there is a ghost in the house. 52 6 "Moby Dick" Terry Hughes Joe Fisch November 5, 1997 (1997-11-05) 303 When Dick discovers that he has put on a large amount of weight, Nina tells him that it's because he's sad about his breakup with Mary. Dick tries to slim by eating healthily and attending exercise classes, but nothing works and he ends up joining a weight loss group, where he runs into Mary. At home, Sally begins to grow attached to her new tomato plant and names it Jeremy, leading Don to fear the worst when he hears that Sally is spending lots of time with "him." Meanwhile, Tommy is worried that August is cheating on him and sends Harry to investigate. (Absent: Elmarie Wendel as Mrs. Dubcek) 53 7 "Eleven Angry Men and One Dick" Terry Hughes Christine Zander November 12, 1997 (1997-11-12) 307 Dick is called up for jury duty for the first time and struggles to deliver a guilty verdict on a clearly guilty man. Meanwhile, Sally, much to Officer Don's distress, falls for a cockney' artist' called Seth, and makes herself over to look and sound just like him. Elsewhere, Harry and Tommy volunteer themselves for Mary's class project-they must communicate without words for five days. (Absent: Elmarie Wendel as Mrs. Dubcek) 54 8 "A Friend in Dick" Terry Hughes David Goetsch & Jason Venokur November 19, 1997 (1997-11-19) 308 Dick has two theater tickets for Peter Connolly's' King of the Jig' left over from when he and Mary were dating, but upon realizing that he does n't have any friends to accompany him, he forges a friendship with Don and becomes jealous when Don wants to spend time with his other friends. Meanwhile, Sally's' artist' boyfriend Seth voices his dislike of Connolly and Sally decides to lure him to Johnny Foam's, while Tommy forces Harry to go to night school to earn a diploma, so that he can have the things that his friends do. (Absent: Elmarie Wendel as Mrs. Dubcek) 55 9 "Seven Deadly Clips" Terry Hughes Mark Brazill December 3, 1997 (1997-12-03) 327 Clip show in which the Solomons review how some of their past experiences on Earth have involved the Seven Deadly Sins. (Absent: Elmarie Wendel as Mrs. Dubcek) 56 10 "Tom, Dick, and Mary" Terry Hughes Bob Kushell & Mark Brazill December 10, 1997 (1997-12-10) 309 Tommy decides that he needs to find a woman who is closer to his real age, and pursues Mary, kicking up a fierce rivalry between himself and Dick. Sally finally gets a proper job, but her boss begins to sexually harass her, and she is fired. Harry is under orders not to watch any TV for a week, since Dick thinks he is watching too much of it. 57 11 "Jailhouse Dick" Terry Hughes Joe Fisch December 17, 1997 (1997-12-17) 310 Dick takes care of a former radio tacky boss-turned felon Eddie, who comes back and because he feels he can make an honest man out of him, however things just end up going wrong. Dr. Albright is fed up with her dog Pepper and enlists Sally's help in finding a new home for him. Back at home, Harry struggles to complete a book report on Little Women for night school. 58 12 "Dick on a Roll" Terry Hughes Andrew Orenstein & Michael Glouberman January 7, 1998 (1998-01-07) 311 After falling down the stairs while wheeling around in a wheelchair, Dick ends up in one, and leads a campaign to have a second ramp added to his building at Pendleton. Harry is delighted when Vicki Dubcek returns, but less than happy when she announces her newly established celibacy. Tommy, however, is annoyed because he is n't old enough to get into a nightclub that Sally and the others are frequenting. 59 13 "The Great Dickdater" Terry Hughes David Goetsch & Jason Venokur January 21, 1998 (1998-01-21) 312 Dick finally announces that he is ready to start dating again but finds that the women of Rutherford do n't want him. Meanwhile, Tommy and Harry find somebody's wallet and return it to him, but after Mrs. Dubcek asks them how much in reward they were given, they stalk the owner until he coughs up. 60 14 "36! 24! 36! Dick (Part 1)" Terry Hughes Katy Ballard January 25, 1998 (1998-01-25) 313 When Rutherford becomes swamped with beautiful women (Cindy Crawford, Angie Everhart, Irina Pantaeva and Beverly Johnson) who ca n't wait to date Average Joes like Dick, Harry, Tommy and Officer Don, Sally begins to suspect that something's amiss and takes it upon herself to investigate. Meanwhile, one of Mary's old students has sent her tickets to Super Bowl XXXII in San Diego and she and Nina attend. 61 15 "36! 24! 36! Dick (Part 2)" Terry Hughes Michael Glouberman & Andrew Orenstein January 25, 1998 (1998-01-25) 314 In order to successfully infiltrate the ranks of the Venusians, Sally has offered herself up as a soldier and been taken to San Diego. Dick, Harry and Tommy eventually catch on and follow the women down there to try to rescue her and save the world from their master plan-to steal Earth's supply of' good stuff'. Back in Rutherford, Don, Rico, Mrs. Dubcek and Judith settle down to watch the Super Bowl on TV. 62 16 "Pickles and Ice Cream" Terry Hughes Bob Kushell January 28, 1998 (1998-01-28) 315 Harry runs into trouble when his dog-like pet' Pickles' (Bill Irwin) from the Solomon's home planet somehow makes it to Rutherford-in human form. Meanwhile, Sally pretends to be pregnant to get in with a group of expecting women, but Officer Don finds out and panics. 63 17 "Auto Eurodicka" Terry Hughes Mark Brazill February 4, 1998 (1998-02-04) 316 Dick meets a woman in line at the cinema and ends up having casual sex with her in his car. However, he soon runs into trouble when he brags about it and discovers that she is the mother of one of his students, Bug. Sally is shopping for her own car and becomes enthralled by a Dodge Viper. However, she can not afford it and becomes increasingly exasperated with the salesman, who, she believes, is intent on spoiling her happiness. 64 18 "Portrait of Tommy as an Old Man" Terry Hughes Joe Fisch February 25, 1998 (1998-02-25) 317 Tommy is tired of being treated like a kid and decides to retire so that he can act the age he truly is (being the oldest of the group in alien form). At work, Mary reveals to Dick that she'd always dreamed of being a lounge singer, so he decides to try to help her realize this. Meanwhile, Don unwittingly ends up stealing one of Sally's panties, and makes a series of attempts to return it without being caught. (Absent: Elmarie Wendel as Mrs. Dubcek) 65 19 "Stuck with Dick" Terry Hughes Bob Kushell & Mark Brazill March 18, 1998 (1998-03-18) 318 Dick decides to try to win back Mary's heart with a romantic champagne evening, and thinks it a lucky opportunity when the pair of them end up locked in the university library all weekend. Sally, Harry and Tommy, meanwhile, are determined to stop the pair getting back together and head to Mary's house to intervene, where they get distracted and end up running up her Pay-Per-View bill and hosting a Tupperware party that she'd planned. (Absent: Elmarie Wendel as Mrs. Dubcek) 66 20 "My Daddy's Little Girl" Terry Hughes Christine Zander & Mark Brazill April 1, 1998 (1998-04-01) 319 Mary's father arrives in town, announcing that he and his wife are separated, but unfortunately for Mary, he soon begins dating Sally. Meanwhile, Harry and Tommy stumble upon Pendleton's university radio station, where Harry takes the controls and begins a new-found career as a shock jock. (Absent: Elmarie Wendel as Mrs. Dubcek) 67 21 "The Physics of Being Dick" Terry Hughes Katy Ballard April 15, 1998 (1998-04-15) 323 Dick demands that Sally and Harry get jobs, so Harry gets work in a bar (Happy Doug's), and Sally as Mary's research assistant. However, upon finding out that Sally has chosen Mary's subject (anthropology), he worries that physics is too boring and strives to spice it up for Tommy's career day. After this goes badly wrong he decides that he wants to be a cop, like Don. 68 22 "Just Your Average Dick" (Part 1) Terry Hughes Bill Martin & Mike Schiff April 28, 1998 (1998-04-28) 320 After Mary and August tell the Solomons that they can be a little weird sometimes, they strive to become a completely average family, going as far as to move to a new, average, apartment, make themselves over with new, average clothes and behave in the most average way they can. Unfortunately for Dick, Mary is soon turned off, missing his old weirdness. (Absent: Wayne Knight as Officer Don) 69 23 "Dick and the Other Guy" (Part 2) Terry Hughes David Goetsch & Jason Venokur April 28, 1998 (1998-04-28) 321 An eccentric new professor (John Cleese) has arrived at Pendleton University and Dick is quick to befriend him; he soon becomes annoyed when Dr. Neesam appears to be able to do everything better than he can, and becomes a rival for Mary's affections. Sally becomes concerned that Officer Don has lost interest in her after hearing a woman tell him he was "great last night", so Mrs. Dubcek convinces her to disguise herself and follow him around. (Absent: French Stewart as Harry) 70 24 "Sally and Don's First Kiss" Terry Hughes David Sacks May 6, 1998 (1998-05-06) 322 Don is concerned because he and Sally have never kissed, so Sally turns to romance novels for inspiration, unwittingly building herself up to the moment so much that, when it finally happens, it does n't satisfy her expectations. At work, Dick is worried because he is the only person in the university who gets charged for crackers in the cafeteria. Meanwhile, Harry finally finishes night school and reminisces about his time there with his friends Larry and Mrs. Deguzman. 71 25 "When Aliens Camp" Terry Hughes David Goetsch & Jason Venokur May 13, 1998 (1998-05-13) 324 Dick becomes concerned that the Solomons are spending little time together and orders the family on a camping holiday, forbidding them to bring anyone else. Unfortunately, and much to the other Solomons' annoyance, he invites Mary to join them and, as a result, everybody becomes angry with him. Outcast, he ventures into the woods and ends up becoming leader of a group of young Beaver Scouts, while the other Solomons and Mary attempt to find him. Guest appearances by Miles Marsico, Meredith Baxter and Robert Gentry (Absent: Wayne Knight as Officer Don) 72 26 "The Tooth Harry" Terry Hughes Katy Ballard & Joe Fisch May 20, 1998 (1998-05-20) 325 Harry drives Nina to the dentist and behaves so sweetly toward her that he ends up stirring her emotions and sparking a romance. At work, Mary has been awarded a place in a promotional video for Pendleton and a jealous Dick takes desperate measures to ensure that he also is granted a place in it. Unfortunately, neither Dick or Mary share the director's vision and end up ruining the video. Meanwhile, Officer Don gives Sally a key to his apartment, hoping that the pair can spend more quality time together; however, he regrets it when she begins to treat the place a little too much as if it is her own. Guest appearances by George Michael, Jerry Seinfeld, Ralph Macchio, Kirstie Alley, John Stamos and William Petersen (Absent: Elmarie Wendel as Mrs. Dubcek) 73 27 "Eat, Drink, Dick, Mary" (Part 1) Terry Hughes Bob Kushell & Mark Brazill May 20, 1998 (1998-05-20) 326 Dick prepares to celebrate his second anniversary of his first real date with Mary, and Vicki Dubcek returns to rekindle her romance with Harry. Sally, however, wants to lose her virginity to Don, but has trouble when Dick, angry that Mary did n't know what the celebration was about, locks himself in his bedroom, as her bedroom is on the other side of his. There are more sinister things afoot, however, when Randy (Phil Hartman), a disgruntled ex-lover of Vicki's turns up and kidnaps Harry. 8 days after this episode aired, Phil Hartman was shot and killed by his wife. For this reason, he is only mentioned in passing during the next episode. Answer this question based on the passage: who played pickles on 3rd rock from the sun? | The relevant information is: (Absent: Elmarie Wendel as Mrs. Dubcek) 56 10 "Tom, Dick, and Mary" Terry Hughes Bob Kushell & Mark Brazill December 10, 1997 (1997-12-10) 309 Tommy decides that he needs to find a woman who is closer to his real age, and pursues Mary, kicking up a fierce rivalry between himself and Dick. Sally finally gets a proper job, but her boss begins to sexually harass her, and she is fired. Harry is under orders not to watch any TV for a week, since Dick thinks he is watching too much of it. 57 11 "Jailhouse Dick" Terry Hughes Joe Fisch December 17, 1997 (1997-12-17) 310 Dick takes care of a former radio tacky boss-turned felon Eddie, who comes back and because he feels he can make an honest man out of him, however things just end up going wrong. Dr. Albright is fed up with her dog Pepper and enlists Sally's help in finding a new home for him. Back at home, Harry struggles to complete a book report on Little Women for night school. 58 12 "Dick on a Roll" Terry Hughes Andrew Orenstein & Michael Glouberman January 7, 1998 (1998-01-07) 311 After falling down the stairs while wheeling around in a wheelchair, Dick ends up in one, and leads a campaign to have a second ramp added to his building at Pendleton. Harry is delighted when Vicki Dubcek returns, but less than happy when she announces her newly established celibacy. Tommy, however, is annoyed because he is n't old enough to get into a nightclub that Sally and the others are frequenting. 59 13 "The Great Dickdater" Terry Hughes David Goetsch & Jason Venokur January 21, 1998 (1998-01-21) 312 Dick finally announces that he is ready to start dating again but finds that the women of Rutherford do n't want him. Meanwhile, Tommy and Harry find somebody's wallet and return it to him, but after Mrs. Dubcek asks them how much in reward they were given, they stalk the owner until he coughs up. 60 14 "36! 24! 36! Dick (Part 1)" Terry Hughes Katy Ballard January 25, 1998 (1998-01-25) 313 When Rutherford becomes swamped with beautiful women (Cindy Crawford, Angie Everhart, Irina Pantaeva and Beverly Johnson) who ca n't wait to date Average Joes like Dick, Harry, Tommy and Officer Don, Sally begins to suspect that something's amiss and takes it upon herself to investigate. Meanwhile, one of Mary's old students has sent her tickets to Super Bowl XXXII in San Diego and she and Nina attend. 61 15 "36! 24! 36! Dick (Part 2)" Terry Hughes Michael Glouberman & Andrew Orenstein January 25, 1998 (1998-01-25) 314 In order to successfully infiltrate the ranks of the Venusians, Sally has offered herself up as a soldier and been taken to San Diego. Dick, Harry and Tommy eventually catch on and follow the women down there to try to rescue her and save the world from their master plan-to steal Earth's supply of' good stuff'. Back in Rutherford, Don, Rico, Mrs. Dubcek and Judith settle down to watch the Super Bowl on TV. 62 16 "Pickles and Ice Cream" Terry Hughes Bob Kushell January 28, 1998 (1998-01-28) 315 Harry runs into trouble when his dog-like pet' Pickles' (Bill Irwin) from the Solomon's home planet somehow makes it to Rutherford-in human form. Meanwhile, Sally pretends to be pregnant to get in with a group of expecting women, but Officer Don finds out and panics. 63 17 "Auto Eurodicka" Terry Hughes Mark Brazill February 4, 1998 (1998-02-04) 316 Dick meets a woman in line at the cinema and ends up having casual sex with her in his car. However, he soon runs into trouble when he brags about it and discovers that she is the mother of one of his students, Bug. Sally is shopping for her own car and becomes enthralled by a Dodge Viper. However, she can not afford it and becomes increasingly exasperated with the salesman, who, she believes, is intent on spoiling her happiness. 64 18 "Portrait of Tommy as an Old Man" Terry Hughes Joe Fisch February 25, 1998 (1998-02-25) 317 Final answer: Bill Irwin. |
Give the step-by-step reasoning process and then the final answer. A woman is trying to decide whether it will be quicker to take an airplane or drive herself to a job interview. If she drives herself, the trip will take her 3 hours and 15 minutes. If she takes an airplane, she will first need to drive 10 minutes to the airport, and then wait 20 minutes to board the plane. After that, she will be on the airplane for one-third of the time it would have taken her to drive herself before landing in the destination city. Finally, it will take her an additional 10 minutes to get off the airplane and arrive at her interview site after the plane lands. Given this information, how many minutes faster is it for her to take the airplane? | First, we must convert the driving time of 3 hours and 15 minutes to minutes. Since there are 60 minutes in an hour, driving takes a total of 3 * 60 + 15 = 195 minutes. Next, the woman will be on the airplane for one - third of 195 minutes, or 195 / 3 = 65 minutes. Therefore, in total, the airplane trip will take the woman 10 + 20 + 65 + 10 = 105 minutes. Thus, the airplane trip is 195 - 105 = 90 minutes faster than driving herself to the interview. The final answer: 90. |
Question: For 6 weeks in the summer, Erica treats herself to 1 ice cream cone from the ice cream truck. Monday, Wednesday and Friday she gets a $2.00 orange creamsicle. Tuesday and Thursday she gets a $1.50 ice cream sandwich. Saturday and Sunday she gets a $3.00 Nutty-Buddy. How much money does she spend on ice cream in 6 weeks? Think carefully first, then make a decision: | Mon, Wed, Fri she gets a $2.00 orange creamsicle so that's 3 days * $2 / day = $6.00. Tue and Thur she gets a $1.50 ice cream sandwich so that's 2 days * $1.50 / day = $3.00. Sat and Sun she gets a $3.00 nutty - buddy so that's 2 days * $3 / day = $6.00. In one week she spends $6 + $3 + $6 = $15.00. Over 6 weeks she spends 6 weeks * $15 / week = $90.00. So the answer is 90. |
Use stream of consciousness to answer the following. El Camino Real (Spanish for The Royal Road, also known as The King's Highway), sometimes associated with Calle Real (within the US state of California), usually refers to the 600-mile (965-kilometer) road connecting the 21 Spanish missions in California (formerly Alta California), along with a number of sub-missions, four presidios, and three pueblos, stretching at its southern end from the San Diego area Mission San Diego de Alcalá, all of the way up to the trail's northern terminus at Mission San Francisco Solano in Sonoma, just above San Francisco Bay. Where does the el camino real start and end? | To answer the question, consider the following: El Camino Real (Spanish for The Royal Road, also known as The King's Highway), sometimes associated with Calle Real (within the US state of California), usually refers to the 600-mile (965-kilometer) road connecting the 21 Spanish missions in California (formerly Alta California), along with a number of sub-missions, four presidios, and three pueblos, stretching at its southern end from the San Diego area Mission San Diego de Alcalá, all of the way up to the trail's northern terminus at Mission San Francisco Solano in Sonoma, just above San Francisco Bay. Final answer: stretching at its southern end from the San Diego area Mission San Diego de Alcalá , all of the way up to the trail 's northern terminus at Mission San Francisco Solano in Sonoma , just above San Francisco Bay. |
Josie and her family went on a safari and had an exciting time watching different animals grazing and playing together. She decided to count each animal she saw and calculated their total number. She counted 80 antelopes, 34 more rabbits than antelopes, 42 fewer hyenas than the total number of antelopes and rabbits combined, 50 more wild dogs than hyenas, and the number of leopards was half the number of rabbits. What the total number of animals that Josie counted? Let's be accurate as possible. | The number of rabbits was 80 + 34 = 114. The total number of rabbits and antelopes is 114 + 80 = 194. The number of hyenas was 42 fewer than the combined number of antelopes and rabbits, which is 194 - 42 = 152. The number of wild dogs was 50 more than the number of hyenas, that is 152 + 50 = 202. The number of leopards is 1 / 2 * 114 = 57. The total number of animals Josie saw is 57 + 202 + 152 + 114 + 80 = 605. The answer: 605. |
Question: For the funfair, the school organizers ordered 30 rolls of tickets. Each roll of tickets has 100 tickets. The 4th graders bought 30% of the tickets while the 5th graders bought 50% of the remaining tickets. Then the 6th graders bought a total of 100 tickets. How many tickets were left unsold? Think carefully first, then make a decision: | There were a total of 30 x 100 = 3000 tickets ordered by the school organizers. The 4th graders bought 3000 x 30 / 100 = 900 tickets. So, there were 3000 - 900 = 2100 tickets left for the other two grade levels. The 5th graders bought 2100 x 50 / 100 = 1050 tickets. So, 2100 - 1050 = 1050 tickets were left then. Since 100 tickets were bought by the 6th graders, therefore 1050 - 100 = 950 tickets were left unsold. So the answer is 950. |
Harry needs to buy 5 spellbooks that each cost 5 gold, three potion kits that each cost 20 silver, and one owl that costs 28 gold. There are 9 silver to a gold. How much will Harry pay total, in silvers? Let's answer step by step: | First find the total cost of the spellbooks by multiplying the price per book by the number of books: 5 books * 5 gold / book = 25 gold. Then add that amount to the cost of the owl: 25 gold + 28 gold = 53 gold. Now multiply that number by the conversion rate between gold and silver: 53 gold * 9 silver / gold = 477 silver. Now find the total cost of the potion kits by multiplying the price per kit by the number of kit: 3 kits * 20 silver / kit = 60 silver. Now add that amount to the cost of the books and owl to find Harry's total spending: 60 silver + 477 silver = 537 silver. The answer: 537. |
If I give my brother 2 marbles I will have double his number of marbles, but my friend will have triple the number I do. The total number of marbles we have together is 63. How many marbles do I have? Let's be accurate as possible. | Let X be the number of marbles I have. If I give my brother 2 marbles, I'll have X - 2 marbles left. And my brother will have (X - 2) / 2 marbles. And my friend will have (X - 2) * 3 left. So the total number of marbles is X - 2 + (X - 2) / 2 + (X - 2) * 3 = 63. (X - 2) * 9 / 2 = 63. X - 2 = 14. X = 16 marbles. The answer: 16. |
Question: Surfers enjoy going to the Rip Curl Myrtle Beach Surf Festival. There were 1500 surfers at the Festival on the first day, 600 more surfers on the second day than the first day, and 2/5 as many surfers on the third day as the first day. What is the average number of surfers at the Festival for the three days? Think carefully first, then make a decision: | If there were 1500 surfers on the first day, the total for the second day is 1500 surfers + 600 surfers = 2100 surfers. On the third day, the number of surfers was 2 / 5 * 1500 surfers = 600 surfers. The total number of surfers at the Festival in the three days was 1500 surfers + 2100 surfers + 600 surfers = 4200 surfers. The average number of surfers at the Beach Surf Festival for the three days is 4200 surfers / 3 days = 1400 surfers / day. So the answer is 1400. |
My question is: Noah’s bedroom light uses 6 watts per hour. His office light is much brighter so he can see to work and uses three times as much energy. The living room light has a much larger space to cover and has to be more powerful, so it uses four times as much energy as his bedroom light. If Noah leaves all those lights on for two hours, how many watts has he used? Your thoughts: | Noah’s bedroom light uses 6 watts per hour, so it would use 2 * 6 = 12 watts in two hours. His office light uses 3 times as many watts as his bedroom light, so it uses 3 * 6 = 18 watts per hour. In two hours, the office light would use 18 * 2 = 36 watts. The living room light uses 4 times as many watts as his bedroom light, so it uses 4 * 6 = 24 watts per hour. In two hours, the living room light would use 24 * 2 = 48 watts. Thus, if Noah leaves all those lights on for two hours, he has used 12 + 36 + 48 = 96 watts. The final answer: 96. |
Sum Sam and Product Pete are in class when their teacher gives Sam the Sum of two numbers and Pete the product of the same two numbers (these numbers are greater than or equal to 2). They must figure out the two numbers. Sam: I don't know what the numbers are Pete. Pete: I knew you didn't know the numbers... But neither do I. Sam: In that case, I do know the numbers.1 What are the numbers? Options: (A) 1-2 (B) 1-3 (C) 2-4 (D) 3-4 (E) 2-3 Stream of consciousness first, then make a decision: | Since Sam knows the sum of the numbers (x + y) he would only know the answer immediately if the sum was 4 (2 + 2) or 5 (3 + 2). Then when Pete (who knows x*y) knew that Sam didn't know the answer the product must have several numbers that add up to the sum (7 = 3 + 4, 7 = 5 + 2). When Pete doesn't know the answer at this point we know the product must have more than one pair of viable factors (12 = 3 * 4, 12 = 6 * 2). At this point Sam knows the numbers are 3 and 4 because they are the only numbers that meet these criteria. Thus, the answer is (D). |
Give the step-by-step reasoning process and then the final answer. Jack went to a supermarket with $100 and bought 4 bottles of water. Then his mother called him and asked him to buy twice as many bottles as he already bought. Each bottle cost $2. Finally, he also bought half a pound of cheese and 1 pound of cheese costs $10. How much money does Jack have remaining? | Jack's mother asked him to buy 2 * 4 = 8 bottles of water. Thus Jack bought 4 + 8 = 12 bottles of water in total. Altogether, the bottles of water cost 12 * $2 = $24. The cheese cost 1 / 2 * $10 = $5. So Jack spent $24 + $5 = $29 on water and cheese. Since he started with $100, he now has $100 - $29 = $71 left. The final answer: 71. |
Lizzy: If there are four times as many apples as oranges in a certain fruit basket and the basket has 15 apples, how many fruits would Emiliano have consumed if he eats 2/3 of each fruit's quantity in the basket?. Me: Hmmm, let me think. I think this is the detailed solution: | If there are four times as many apples as oranges in a certain fruit basket, with the number of apples being 15, there are 15 * 4 = 60 oranges in the basket. If Emiliano eats 2 / 3 of the oranges in the basket, he would have taken 2 / 3 * 60 = 40 oranges from the basket. With the number of apples in the basket being 15, if Emiliano eats 2 / 3 of them, 2 / 3 * 15 = 10 apples would have been eaten by Emiliano. The total number of fruits eaten by Emiliano will total 10 + 40 = 50. Final answer: 50. |
Mr. Grey's house was worth $100,000. He sold the house to Mr. Brown at a profit of 10%. After one year, Mr. Brown sold the house to his other friend with a 10% loss. How much was Mr. Brown's selling price? Let's be accurate as possible. | Mr. Grey had a $100 000 x 10 / 100 = $10,000 profit. So, Mr. Grey sold the house to Mr. Brown for $100 000 + $10 000 = $110,000. Mr. Brown sold the house $110 000 x 10 / 100 = $11,000 less than its purchased price. Thus, Mr. Brown sold it for $110 000 - $11 000 = $99,000 to his friend. The answer: 99000. |
My question is: There are 180 students in ninth grade. 1/4 of them bombed their finals because they were going through difficult breakups. 1/3rd of the rest didn't show up to take the test, and another 20 got less than a D. How many students passed their finals? Your thoughts: | First find the number of students who went through breakups: 1 / 4 * 180 = 45 students. Then subtract that number from the total number: 180 students - 45 students = 135 students. Then divide that number by 3 to find the number of students who didn't show up to take the test: 135 students / 3 = 45 students. Then subtract the number of students who failed in each way from the total number to find the number who passed: 180 students - 45 students - 45 students - 20 students = 70 students. The final answer: 70. |
Zach was a waiter in a fancy restaurant. His last table for the night was a party for 4 people. The mom ordered lobster for $25.50, the dad ordered steak for $35.00 their twin boys both ordered a cheeseburger and fries for $13.50 each. They started their meal with an appetizer that cost 8.50. Everyone also ordered a dessert that cost $6.00 each. They wanted to give a 20% tip for Zach on the bill. What did the final bill total come to? Thoughts? Step-by-step reasoning: | The twins ordered a cheeseburger each so 2 * 13.50 = $27.00 for both cheeseburgers. Everyone ordered a dessert so 4 * 6 = $24.00 for dessert. When you add all the meals together they spent 25.50 + 35.00 + 27.00 + 8.50 + 24.00 = $120.00. Zach's tip was 20% so .20 * 120.00 = $24.00. When you add up the meals $120.00 and Zach's tip of $24.00 then the total cost is 120.00 + 24.00 = $144.00. Thus, the answer is 144. |
The lunchroom is full of students: 40% are girls and the remainder are boys. There are 2 monitors for every 15 students. There are 8 monitors. Every boy drinks, on average, 1 carton of milk, and every girl drinks, on average, 2 cartons of milk. How many total cartons of milk are consumed by the students in the lunchroom? Thoughts? Step-by-step reasoning: | There is 1 monitor for every fifteen students because 30 / 2 = 15. There are 120 students because 8 x 15 = 120. 60% of the lunchroom is boys because 100 - 40 = 60. There are 72 boys because 120 x .6 = 72. There are 48 girls because 120 x .4 = 48. The boys drink 72 cartons of milk because 72 x 1 = 72. The girls drink 96 cartons of milk because 48 x 2 = 96. They drink 168 cartons of milk because 72 + 96 = 168. Thus, the answer is 168. |
Question: How many digits are in the number 50 ⁇ 8 ⁇ 8 ⁇ 3 ⁇ 11? Options: (A) 18 (B) 20 (C) 19 (D) 22 (E) 17 Random thoughts: | Whenever you are asked to find the number of digits, try to bring the number in multiples of 10. This way, we can wasily calculate the umber of 0's through the powers of 10 50 ⁇ 8 ⁇ 8 ⁇ 3 ⁇ 11 = (5 ⁇ 2*2) ⁇ 8*2 ⁇ 9*11 = 5 ⁇ 16*2 ⁇ 17*11 = 2*11*10 ⁇ 16 = 22*10 ⁇ 16 Hence we would have 16 trailing 0's and the three digits from 22 Total digits = 2 + 16 = 18 The final answer: (A). |
Anahi bought a 500 pages book to write some notes on. In the first week, she wrote on 150 pages. In the second week, she wrote on 30% of the remaining pages. While continuing writing, she accidentally spilled coffee on the book and damaged 20 percent of the empty pages she was to write on. Calculate the total number of empty pages available for her to write on now. Give me reasons, before answering the question | If she bought a 500 pages book and wrote on 150 pages, the number of empty pages remaining is 500 - 150 = 350 pages. She then wrote on 30% of the remaining empty pages on the second week, a total of 30 / 100 * 350 = 105 pages. The number of remaining empty pages is 350 - 105 = 245 pages. When she spilled coffee on the remaining empty pages, the number of damaged pages was 20 / 100 * 245 = 49. The number of empty pages remaining that she could write on is 245 - 49 = 196 pages. So the final answer is 196. |
Nancy is filling an aquarium for her fish. She fills it halfway and goes to answer the door. While she's gone, her cat knocks the aquarium over and spills half the water in it. Then Nancy comes back and triples the amount of water in the aquarium. If the aquarium is 4 feet long, 6 feet wide, and 3 feet high, how many cubic feet of water are in the aquarium? Let's be accurate as possible. | First calculate the volume of the aquarium by multiplying its length, width and height: 4 ft * 6 ft * 3 ft = 72 cubic ft. Then figure out what proportion of the aquarium is full after the cat knocks it over: 1 / 2 * 1 / 2 = 1 / 4. Then figure out what proportion of the aquarium is full after Nancy refills it: 3 * 1 / 4 = 3 / 4. Now multiply the proportion of the aquarium that's full by the aquarium's volume to find out how much water is in it: 72 cubic ft * 3 / 4 = 54 cubic ft. The answer: 54. |
Approximately what percent of the employees with 5 or more years of employment are NOT taking either workshop? Options: (A) 86% (B) 64% (C) 50% (D) 14% (E) 7% Stream of consciousness: | Total = n(A) + n(B) - Both + None None = Total - n(A) - n(B) + Both Calculate "none" for each case None(5+ yrs Line) = 200 - 50 - 40 + 30 = 140 None(5+ yrs Staff) = 160 - 40 - 50 + 20 = 90 Employees not taking either workshop/Total number of employees = (140 + 90)/(200 + 160) = 230/360 = About 64% Thus, the answer is (B). |
It costs $.10 to print one page. Jenny wants to print 7 copies of her 25-page essay. She also wants to buy 7 pens that each cost $1.50. If she pays the store with 2 twenty dollar bills, how much money should she get in change? Let's think first. Chain of thought: | Jenny needs to print 7 * 25 = 175 pages. This will cost 175 * $.10 = $17.5. The pens will cost 7 * $1.50 = $10.50. In total, she will spend $17.5 + $10.5 = $28. Since she pays with 2 twenty dollar bills she pays with 2 * 20 = 40 dollars. Thus, she will get $40 - $28 = $12 in change. Therefore, the answer is 12. |
Context: Hatshepsut (/ h ⁇ t ⁇ ps ⁇ t /; also Hatchepsut; Egyptian: ⁇ 3. t- ⁇ ps. wt "Foremost of Noble Ladies"; 1507 -- 1458 BC) was the fifth pharaoh of the Eighteenth Dynasty of Egypt. She was the second historically confirmed female pharaoh, the first being Sobekneferu. (Various other women may have also ruled as pharaohs regnant or at least regents before Hatshepsut, as early as Neithhotep around 1,600 years prior.) Hatshepsut came to the throne of Egypt in 1478 BC. Officially, she ruled jointly with Thutmose III, who had ascended to the throne the previous year as a child of about two years old. Hatshepsut was the chief wife of Thutmose II, Thutmose III's father. She is generally regarded by Egyptologists as one of the most successful pharaohs, reigning longer than any other woman of an indigenous Egyptian dynasty. According to Egyptologist James Henry Breasted she is also known as "the first great woman in history of whom we are informed." Question: who was one of the few female pharaohs that ruled egypt? Steam of consciousness below: | The relevant sentence in the passage is: Hatshepsut (/ h ⁇ t ⁇ ps ⁇ t /; also Hatchepsut; Egyptian: ⁇ 3. t- ⁇ ps. wt "Foremost of Noble Ladies"; 1507 -- 1458 BC) was the fifth pharaoh of the Eighteenth Dynasty of Egypt. So, the answer is Hatshepsut ( / h ⁇ t ⁇ ps ⁇ t / ; also Hatchepsut ; Egyptian : ⁇ 3. t - ⁇ ps. wt ⁇ Foremost of Noble Ladies '' ; 1507 -- 1458 BC ). |
Give the step-by-step reasoning process and then the final answer. Lorie has 2 pieces of $100 bills. He requested to change one piece of the $100 bills into $50 bills. Half of the remaining $100 bill is changed to $10 bills while the rest is changed to $5 bills. How many pieces of bills will she have? | There will be $100 / $50 = 2 pieces of $50 when $100 is changed to $50 bills. Half of $100 is $100 / 2 = $50. So there will be $50 / $10 = 5 pieces of $10 when $50 is changed to $10 bills. The remaining $50 will be changed to $5 bills so there will be $50 / $5 = 10 pieces of $5 bills. So in total, Lorie will have 2 $50 bills + 5 $10 bills + 10 $5 bills = 17 pieces of bills. The final answer: 17. |
Carolyn is planning out her final essay. The introduction will be 450 words, the conclusion will be triple the length of the introduction, and each of the four body sections will be the same length. If her essay has to be 5000 words total, how long is each section? Let's think first. Chain of thought: | First find the length of the conclusion by tripling the length of the introduction: 450 words * 3 = 1350 words. Then subtract the length of the introduction and conclusion from the total length to find the combined length of the body sections: 5000 words - 1350 words - 450 words = 3200 words. Then divide the combined length of the body section by the number of body sections to find the length of each section: 3200 words / 4 sections = 800 words / section. Therefore, the answer is 800. |
A new factory opens up and hires 20 people to make t-shirts. Each person makes on average 20 shirts per day during their 8-hour shift. The employees each get paid $12 an hour plus $5 per shirt they make. The company sells shirts for $35 each. Nonemployee expenses come out to $1000 a day. How much does the company make in profits per day? Let's answer step by step: | Each employee gets paid 20 * 5 = $100 for the shirts they make. They also get paid 12 * 8 = $96 for hours worked. So they get a total of 100 + 96 = $196 per day. That means employee cost is 20 * 196 = $3920. The factory makes 20 * 20 = 400 shirts. So they make 400 * 35 = $14,000 from selling shirts. So they made a profit of 14,000 - 3,920 - 1,000 = $9,080. The answer: 9080. |
Silvia wants to buy a new guitar online. The price of the guitar has a suggested retail price of $1000. Guitar Center has a special deal of 15% off but has a shipping fee of $100. Sweetwater has a 10% off deal with free shipping. How much will she save by buying from the cheaper store compared to the other store? Let's answer step by step: | The discount saved when buying from Guitar Center would be $1000 * 15% = $150. The total cost when buying from Guitar Center would be $1000 - $150 discount + $100 shipping = $950. The discount when buying from Sweetwater would be $1000 * 10% = $100. The total cost when buying from Sweetwater would be $1000 - $100 discount + $0 shipping = $900. Thus, Silvia would save $950 - $900 = $50 when buying from Sweetwater. The answer: 50. |
Lara is a contestant on a fun game show where she needs to navigate an inflated bouncy house obstacle course. First she needs to carry a backpack full of treasure through the obstacle course and set it down on the other side, which she does in 7 minutes and 23 seconds. Second, she needs to crank open the door to the obstacle course so she can go back through, which takes her 73 seconds. After she gets through the door she traverses the obstacle course again and makes it out faster without the backpack, in 5 minutes and 58 seconds. How many seconds total does it take her to complete the obstacle course? Think carefully first, then make a decision: | It takes Lara 7 minutes and 23 seconds to make it through the obstacle course the first time. 7 minutes x 60 seconds per minute = 420 seconds + 23 seconds = 443 seconds to get through the first part of the obstacle course. The second stage of the obstacle course she completes in 73 seconds + 443 seconds = 516 seconds. It takes 5 minutes and 58 seconds for Lara to get through the obstacle course the second time. 5 minutes x 60 seconds per minute = 300 + 58 seconds = 358 seconds. Combined, it takes Lara 516 + 358 seconds = 874 seconds for Lara to run the whole obstacle course. So, the answer is 874. |
The American swallow can lift into the air and carry a maximum of 5 pounds of weight, while the European swallow can lift and carry twice the weight as the American swallow. If there was a flock of 90 swallows, containing twice as many American as European swallows, what is the maximum combined weight the flock can carry? Let's be accurate as possible. | If "x" is the number of European swallows, then, for every one European swallow, there would be 2x American swallows. Thus, the total number of swallows would be 2x + x = 90 swallows. Thus, the number of European swallows x = 30. And the number of American swallows is 90 - 30 = 60. A European swallow can carry twice what an American swallow can carry, or 2 * 5 = 10 pounds. 30 European swallows can carry a maximum of 30 * 10 = 300 pounds. 60 American swallows can carry a maximum of 60 * 5 = 300 pounds. Thus, a flock of 90 birds, with 30 European and 60 American swallows, can carry 300 + 300 = 600 pounds. The answer: 600. |
A waterpark opens up and charges $30 for admission. Kids' tickets are half price. If a group of people brings a soda, they can get 20% off the total price of admission. Janet gets tickets for 10 people and 4 of them are children. She buys a soda for $5 to take advantage of the discount for her group. How much did she pay for everything? Think carefully first, then make a decision: | She bought 10 - 4 = 6 adult tickets. So 6 * 30 = $180 was the cost for adult tickets. Children tickets cost 30 / 2 = $15 each. So the children tickets cost 15 * 4 = $60. So the total cost of tickets is 60 + 180 = $240. They get a 240 * .2 = $48 discount. So the tickets cost 240 - 48 = $192. So in total she paid 192 + 5 = $197. So, the answer is 197. |
Parker wants to find out what the average percentage of kernels that pop in a bag is. In the first bag he makes, 60 kernels pop and the bag has 75 kernels. In the second bag, 42 kernels pop and there are 50 in the bag. In the final bag, 82 kernels pop and the bag has 100 kernels. Give me reasons, before answering the question | In the first bag the proportion that pops is .8 because 60 / 75 = .8. In the second bag the proportion that pops is .84 because 42 / 50 = .84. In the third bag the proportion that pops is .82 because 82 / 100 = .82. The proportions totals 2.46 because .8 + . 84 + .82 = 2.46. The average proportion is .82 because 2.46 / 3 = .82. The average percentage is 82 because .82 x 100 = 82. So the final answer is 82. |
Question: Bob gets paid $5 an hour for the regular hours he works and $6 an hour for any overtime hours he works. All hours over 40 in a week are considered overtime. If Bob works 44 hours in the first week and 48 hours in the second week, how much did he make? Think carefully first, then make a decision: | Bob has worked 40 hours / week x 2 weeks = 80 regular hours. Bob got paid 80 hours x $5 / hour = $400 for his regular hours. Bob worked 44 hours - 40 hours = 4 hours of overtime in the first week. Bob worked 48 hours - 40 hours = 8 hours of overtime in the second week. In total Bob worker 8 hours + 4 hours = 12 hours of overtime. Bob got paid $6 / hour x 12 hours = $72 for overtime. In 2 weeks Bob earned $400 + $72 = $472. So the answer is 472. |
Question: In a race, there are eight runners. The first five runners finish the race in 8 hours, while the rest of the runners finish the race 2 hours later. Calculate the total time the eight runners took to finish the race. Think carefully first, then make a decision: | The first five runners took a combined total of 5 * 8 = 40 hours to finish the race. The number of runners who finished the race 2 hours later after the first five is 8 - 5 = 3. The 3 runners who finished the race 2 hours later took a total of 8 + 2 = 10 hours to run the race. Together, the three runners who finished the race in 10 hours took a total of 10 * 3 = 30 hours. All eight runners took 30 + 40 = 70 hours altogether to finish the race. So the answer is 70. |
Adam’s wardrobe is too crowded so he decides to donate some of his clothes to a charity shop. He takes out 4 pairs of pants, 4 jumpers, 4 pajama sets (top and bottom), and 20 t-shirts, then asks his friends if they have anything they want to donate. 3 of his friends donate the same amount of clothing as Adam each. Then he takes another look over his clothing and decides that he actually wants to keep half of his clothes. How many articles of clothing are being donated in total? Give me reasons, before answering the question | As pajama sets are made up of a top and a bottom, there are 4 pajama sets * 2 = 8 articles of clothing from Adam's donation. In total, Adam is donating 4 pairs of pants + 4 jumpers + 8 pajama pieces + 20 t - shirts = 36 articles of clothing. Together, the 3 friends donate a total of 36 articles of clothing per friend * 3 friends = 108 articles of clothing. Adam changes his mind and takes back half, which means he is now actually donating 36 / 2 = 18 articles of clothing. There is therefore now a total of 108 + 18 = 126 articles of clothing being donated. So the final answer is 126. |
Which of the following is not divisible by 8? Options: (A) 10032 (B) 21192 (C) 47816 (D) 91232 (E) 72034 OK. Let's think. Some random thoughts first: | Divisibility rule of 8: Last three digits of the number should be divisible by 8 Option A: 10032, last three digits = 032. Divisible by 8 Option B: 21192, last three digits = 192. Divisible by 8 Option C: 47816, last three digits = 816. Divisible by 8 Option D: 91232, last three digits = 232. Divisible by 8 Option E: 72034, last three digits = 034. Not divisible by 8. Hence 72034 is not divisible by 8 The answer: (E). |
Mrs. Snyder used to spend 40% of her monthly income on rent and utilities. Her salary was recently increased by $600 so now her rent and utilities only amount to 25% of her monthly income. How much was her previous monthly income? Let's answer step by step: | Let her previous monthly income be p. The cost of her rent and utilities was 40% of p which is (40 / 100) * p = 2p / 5. Her income was increased by $600 so it is now p + $600. The cost of her rent and utilities now amount to 25% of (p + $600) which is (25 / 100) * (p + $600) = (p + $600) / 4. Equating both expressions for cost of rent and utilities: 2p / 5 = (p + $600) / 4. Multiplying both sides of the equation by 20 gives 8p = 5p + $3000. Subtracting 5p from both sides gives: 3p = $3000. Dividing both sides by 3 gives p = $1000. The answer: 1000. |
My question is: Krista started raising chickens. She has 10 hens who lay eggs. She sells the eggs for $3 a dozen. In four weeks, she sold $120 worth of eggs. If she sold all the eggs her hens laid, how many eggs does each hen lay a week? Your thoughts: | At $3 a dozen, Krista sold $120 / $3 = 40 dozen eggs. If 10 hens laid 40 dozen eggs in 4 weeks, that means 40 dozen eggs / 10 hens = 4 dozen eggs were laid by each hen in four weeks. To find out how many eggs each hen laid in a week, 4 dozen eggs / 4 weeks = 1 dozen eggs each week. Since a dozen has 12 eggs, each hen lays 12 * 1 = 12 eggs each week. The final answer: 12. |
Q: Context: The defined dogma of the Immaculate Conception regards original sin only, saying that Mary was preserved from any stain (in Latin, macula or labes, the second of these two synonymous words being the one used in the formal definition). The proclaimed Roman Catholic dogma states, "that the most Blessed Virgin Mary, in the first instance of her conception, by a singular grace and privilege granted by Almighty God, in view of the merits of Jesus Christ, the Saviour of the human race, was preserved free from all stain of original sin." Therefore, being always free from original sin, the doctrine teaches that from her conception Mary received the sanctifying grace that would normally come with baptism after birth. Question: what is the catholic doctrine of the immaculate conception? Let's give stream of consciousness below | To answer the question, consider the following: The proclaimed Roman Catholic dogma states, "that the most Blessed Virgin Mary, in the first instance of her conception, by a singular grace and privilege granted by Almighty God, in view of the merits of Jesus Christ, the Saviour of the human race, was preserved free from all stain of original sin." So the answer is that the most Blessed Virgin Mary , in the first instance of her conception , by a singular grace and privilege granted by Almighty God , in view of the merits of Jesus Christ , the Saviour of the human race , was preserved free from all stain of original sin. |
My question is: Mr. Zubir bought a pair of pants, a shirt, and a coat. The pair of pants and shirt costs $100. The pants and coat cost $244. The coat costs 5 times as much as the shirt. How much did Mr. Zubir pay for his coat? Your thoughts: | Let X be the coat's price. The shirt's price is X / 5. The pants and the shirt cost $100, so the pants price is $100 - X / 5. The pants and coat costs ($100 - X / 5) + X = $244. Combining like terms and subtracting $100 from both sides, we get 4 / 5 * X = $144. Dividing both sides by 4 / 5, we get X = $180. The final answer: 180. |
There are three dogs in the backyard. They like apples, blueberries, and bonnies. The first dog, which likes apples, eats 3 times as many apples as the number of blueberries eaten by the second dog that likes blueberries. The dog that likes blueberries eats 3/4 times as many blueberries as the number of bonnies eaten by the third dog. If the dog that likes bonnies ate 60 of them, calculate the total number of fruits eaten by the three dogs? Let's think first. Chain of thought: | The dog that likes blueberries ate 3 / 4 * 60 = 45 blueberries, 3 / 4 as many blueberries as the number of bonnies eaten by the third dog. The total number of fruits eaten by the dog that likes bonnies and the one that like blueberries is 45 + 60 = 105. The first dog that likes apples ate 3 * 45 = 135 apples which are 3 times as many blueberries as the number eaten by the dog that likes blueberries. In total, the three dogs ate 105 + 135 = 240 fruits. Therefore, the answer is 240. |
An old pirate wants to leave his treasure on an island. He has 3500 gold coins. He wants to spread this equally across 5 chests. Additionally, he will put a total of 500 silver coins and twice as many bronze coins as silver, all distributed equally across the chests. How many coins in total will be in each chest? Thoughts? Step-by-step reasoning: | There will be 3500 gold coins / 5 chest = 700 gold coins in every chest. So, there will be 500 silver coins / 5 chests = 100 silver coins in each chest. Then, the number of bronze coins is double the number of silver coins, so there are 2 * 500 = 1000 bronze coins. So there will be 1000 bronze coins / 5 chests = 200 bronze coins in each chest. Finally, the total number of coins in every chest will be 700 gold coins + 100 silver coins + 200 bronze coins = 1000 coins. Thus, the answer is 1000. |
The P.T.O. decided to provide shirts for the elementary students for track and field day. Each grade was given a different color. 101 Kindergartners wore orange shirts that cost $5.80 each. 113 first graders wore yellow shirts that cost $5 each. 107 second graders wore blue shirts that cost $5.60 each. 108 third graders wore green shirts that cost $5.25 each. How much did the P.T.O. spend on shirts for field day? Thoughts? Step-by-step reasoning: | The cost for 101 Kindergarten shirts x $5.80 = $585.80. The cost for 113 first grade shirts x $5 = $565. The cost for 107 second grade shirts x $5.60 = $599.20. The cost for 108 third grade shirts x $5.25 = $567. The total cost of the shirts was $585.80 + $565 + $599.20 + $567 = $2,317. Thus, the answer is 2317. |
Question: One US cup equals 250ml. Brian is making lasagna for himself, his wife, his two kids, his parents, and his wife's parents. The recipe requires 1/2 a cup of milk per serving. How many 1L cartons of milk does Brian need to buy if each person is expected to eat 2 servings? Think carefully first, then make a decision: | There will be a total of (1) Brian + (1) Brian's wife + (2) two kids + (2) Brian's parents + (2) Brian's in - laws = 1 + 1 + 2 + 2 + 2 = 8 people eating. If 1 person eats 2 serving of lasagna then 8 people will eat 8 * 2 = 16 servings. If each serving requires 1 / 2 cup of milk then 16 servings require 16 * 1 / 2 cups = 8 cups of milk. If one cup of milk equals 250 ml, then 8 cups of milk equal 8 * 250 = 2000 ml of milk. 1L carton of milk equals 1000ml of milk, therefore Brian needs 2000 / 1000 = 2 cartons of 1L milk. So the answer is 2. |
Stella and Twinkle are filling up a truck with a capacity of 6000 stone blocks at the rate of 250 blocks per hour per person. They work for four hours and are then joined by 6 other people who also work at the same rate. How many hours did filling the truck take? Think carefully first, then make a decision: | Stella and Twinkle filled up the truck at the rate of 250 blocks per hour per person, a total of 2 * 250 = 500 blocks per hour for both. After working for four hours, Stella and Twinkle had filled 4 * 500 = 2000 blocks into the truck. The number of blocks they had to put into the truck for it to be full is 6000 - 2000 = 4000. When 6 more people joined Stella and Twinkle, a total of 2 + 6 = 8 people were filling the truck now. Working at the rate of 250 blocks per person, the eight people filled the truck with 250 * 8 = 2000 blocks in one hour. If there were 4000 blocks that still needed to be put into the truck, the 8 people took 4000 / 2000 = 2 hours to fill the truck with the blocks. The total time it took to fill up the tank is 4 + 2 = 6 hours. So, the answer is 6. |
Alvin is selling his marble set. He has 100 marbles. 20% are white, 30% are black, and the rest are different colors. He sells the white ones for a nickel each, the black ones for a dime each, and the colors for $0.20 each. How much does he earn? Give me reasons, before answering the question | He has 20 white marbles because 100 x .2 = 20. He has 30 black marbles because 100 x .3 = 30. He has 50 color marbles because 100 - 20 - 30 = 50. He earns $1 from white marbles because 20 x .05 = 1. He earns $3 from the black marbles because 30 x .1 = 3. He earns $10 from the colors because 50 x .2 = 10. He earns $14 in total because 1 + 3 + 10 = 14. So the final answer is 14. |
Brian is taping up some boxes. Each box needs three pieces of tape, one as long as the long side and two as long as the short side. If Brian tapes up 5 boxes that measure 15 inches by 30 inches and 2 boxes that measure 40 inches square, how much tape does he need? Think carefully first, then make a decision: | First find the amount of tape each 15 in x 30 in box needs on the short sides: 2 sides * 15 inches / side = 30 inches. Then add that to the amount of tape each 15 in x 30 in box needs on the long side to find the total amount needed per box: 30 inches + 30 inches = 60 inches. Then multiply that amount by 5 boxes to find the total amount needed: 60 inches / box * 5 boxes = 300 inches. Then find the amount of tape each 40 in x 40 in box needs for its three equal length sides: 3 sides * 40 inches / side = 120 inches. Then multiply that amount by 2 boxes to find the total amount needed: 120 inches / box * 2 boxes = 240 inches. Then add the total amount needed for each box size to find the grand total: 240 inches + 300 inches = 540 inches. So, the answer is 540. |
A shipping boat's crew consisted of 17 sailors, with five inexperienced sailors. Each experienced sailor was paid 1/5 times more than the inexperienced sailors. If the inexperienced sailors were paid $10 per hour for a 60-hour workweek, calculate the total combined monthly earnings of the experienced sailors. Thoughts? Step-by-step reasoning: | If the experienced sailors received 1 / 5 times more money than the inexperienced sailors, they were paid 1 / 5 * 10 = $2 more. The total hourly earnings for the experienced sailors each is $10 + $2 = $12. In a 60 - hour workweek, an experienced sailor is paid 60 * $12 = $720. In a month, an experienced sailor is paid 4 * $720 = $2880. If there were five inexperienced sailors, the total number of experienced sailors was 17 - 5 = 12. If each experienced sailor was paid $2280 per month, the total combined monthly earnings for the experienced is 12 * 2880 = $34560. Thus, the answer is 34560. |
Milly and Floretta are having a water balloon fight in their garden. They use 3 packs of their own water balloons and also use 2 packs of a neighbor’s water balloons. Each pack of water balloons contains 6 balloons. Milly and Floretta fill all of the balloons then split them evenly, but Milly takes an extra 7 balloons when Floretta isn't looking. How many water balloons is Floretta left with? Let's be accurate as possible. | Milly and Floretta have a total of 3 packs of their own water balloons + 2 packs of the neighbor’s water balloons = 5 packs of water balloons. So there is a total of 5 packs of water balloons * 6 balloons per pack of water balloons = 30 water balloons available. As they split them evenly, they each have 30 water balloons / 2 = 15 water balloons. After Milly steals some balloons, Floretta is left with 15 – 7 = 8 water balloons. The answer: 8. |
Carter has a 14-hour road trip. He wants to stop every 2 hours to stretch his legs. He also wants to make 2 additional stops for food and 3 additional stops for gas. If each pit stop takes 20 minutes, how many hours will his road trip become? Let's think first. Chain of thought: | He has a 14 - hour trip and wants to stop every 2 hours so that's 14 / 2 = 7 pit stops. He will make 7 pit stops plus 2 more for food and 3 more for gas for a total of 7 + 2 + 3 = 12 pit stops. Each pit stop will take 20 minutes and he is making 12 stops so that's 20 * 12 = 240 minutes. 60 minutes are in an hour and he's adding 240 minutes to his trip so that's 240 / 60 = 4 more hours. His trip started as 14 hours and he will add an additional 4 hours in pit stops for a total of a 14 + 4 = 18 hour long trip. Therefore, the answer is 18. |
Give a stream of consciousness and then the final answer. Philippe Petit (French pronunciation: ( filip p ⁇ ti); born 13 August 1949 ) is a French high-wire artist who gained fame for his high-wire walk between the Twin Towers of the World Trade Center in New York City, on the morning of August 7, 1974 as well as his high wire walk between the towers of Notre Dame cathedral in Paris, 1971. For his unauthorized feat 400 metres (1,000 feet) above the ground -- which he referred to as "le coup" -- he rigged a 200-kilogram (440-pound) cable and used a custom-made 8-metre (30-foot) long, 25-kilogram (55-pound) balancing pole. He performed for 45 minutes, making eight passes along the wire. The following week, he celebrated his 25th birthday. All charges were dismissed in exchange for him doing a performance in Central Park for children. Based on this passage, who crossed the twin towers on a tightrope? | The relevant sentence in the passage is: Philippe Petit (French pronunciation: ( filip p ⁇ ti); born 13 August 1949 ) is a French high-wire artist who gained fame for his high-wire walk between the Twin Towers of the World Trade Center in New York City, on the morning of August 7, 1974 as well as his high wire walk between the towers of Notre Dame cathedral in Paris, 1971. So, the final answer is Philippe Petit ( French pronunciation : ( filip p ⁇ ti ) ; born 13 August 1949 ). |
Lizzy: On his farm, Mr. Mathews has goats and sheep in the ratio of 5:7. He decides to sell half of the goats at $40 each and 2/3 of the sheep at $30 each. How much money does he make from the sale of the animals if the total number of sheep and goats on the farm is 360?. Me: Hmmm, let me think. I think this is the detailed solution: | The total ratio of goats and sheep on the farm is 5 + 7 = 12. The fraction that represents goats from the total ratio is 5 / 12, and since there are 360 goats and sheep on the farm, the number of goats is 5 / 12 * 360 = 150. The number of sheep on Mr. Mathews's farm is 360 - 150 = 210. Mr. Mathews sold 1 / 2 * 150 = 75 goats. If each goat went for $40, the total amount of money Mr. Mathews made from the sale of his goats is 75 * $40 = $3000. He also sold 2 / 3 * 210 = 140 of the total sheep on his farm. The income from the sale of the sheep is 140 * $30 = $4200. From the sale of goats and sheep, Mr. Mathews made $4200 + $3000 = $8600. Final answer: 7200. |
Question: Caden has four jars of coins. One jar of pennies, one jar of nickels, one jar of dimes and one jar of quarters. He has twice as many quarters as he does dimes. He has five times as many nickels as he does dimes. He has three times as many pennies as he does nickels. If he has 120 pennies, how much money does he have? Think carefully first, then make a decision: | Starting with 120 pennies he has $1.20. If he has three times as many pennies as he does nickels, he has 120 pennies / 3 nickels per penny = 40 nickels. 40 nickels = 40 * $0.05 = $2. If he has five times as many nickels as dimes he has 40 nickels / 5 dimes per nickel = 8 dimes. 8 * $0.10 = $0.80. if he has twice as many quarters than he does dimes, he has 8 dimes * 2 quarters per dime = 16 quarters = 16 * $ 0.25 = $4.00. In all he has $1.20 + $2.00 + $0.80 + $4.00 = $8.00. So the answer is 8. |
Remi wants to drink more water. He has a refillable water bottle that holds 20 ounces of water. That week Remi refills the bottle 3 times a day and drinks the whole bottle each time except for twice when he accidentally spills 5 ounces the first time and 8 ounces the second time. In 7 days how many ounces of water does Remi drink? Thoughts? Step-by-step reasoning: | Remi drinks the same amount of water every day for a week except for when he spills some of it. His water bottle holds 20 ounces which he drinks 3 times a day, 20 x 3 = 60 ounces a typical day. Over 7 days, without spilling anything, Remi drinks 60 ounces x 7 days = 420 ounces. Except Remi spills 8 + 5 ounces of water during the week = 13 ounces of water Remi spills. Total, Remi drinks 420 ounces - 13 ounces of spilled water = 407 ounces Remi drank during the week. Thus, the answer is 407. |
Give the step-by-step reasoning process and then the final answer. Lucille is painting her room. Two of her walls are 3 meters wide and 2 meters tall. The third wall is 5 meters wide and 2 meters tall. The final wall is 4 meters wide and 2 meters tall. If each can of paint covers 2 square meters, how many cans of paint does Lucille need? | For the first set of walls, each wall covers 3 meters wide * 2 meters tall = 6 square meters. There are two of these walls, so this becomes a total of 6 meters * 2 walls = 12 square meters. The third wall covers 5 meters wide * 2 meters tall = 10 square meters. The final wall covers 4 meters wide * 2 meters tall = 8 square meters. So in total, the paint needs to cover 12 + 10 + 8 = 30 metres. Since each can covers 2 meters, Lucille needs 30 meters / 2 = 15 cans of paint. The final answer: 15. |
Question: At the burger hut, you can buy a burger for $5, french fries for $3, and a soft drink for $3. If you order a special burger meal, you get all 3 of these food items for $9.50. A kid’s burger is $3, a kid’s french fries are $2, and a kid's juice box is $2. They also have a kids meal of all 3 kids' food items for $5. Mr. Parker buys 2 burger meals for his wife and himself. He also buys 2 burger meals and 2 kid's meals for his 4 children. How much money does Mr. Parker save by buying the 6 meals versus buying the individual food items? Think carefully first, then make a decision: | To buy regular food items individually, they cost $5 + $3 + $3 = $11. To buy kids food items individually, they cost $3 + $2 + $2 = $7. If you buy the special burger meal, you save $11 - $9.50 = $1.50. If you buy the kid's meal, you save $7 - $5 = $2. Mr. Parker buys 4 special burger meals, bringing his discount to 4 x $1.50 = $6. He buys 2 kid's meals, bringing his discount to 2 x $2 = $4. The total savings for Mr. Parker is $6 + $4 = $10. So the answer is 10. |
Question: A chocolate box contains 200 bars. Thomas and his 4 friends take 1/4 of the bars and decide to divide them equally between them. One of Thomas's friends doesn't like chocolate bars very much and returns 5 of his bars to the box. Later, his sister Piper comes home and takes 5 fewer bars than those taken in total by Thomas and his friends so she can also share with her friends. What's the total number of bars left in the box? Think carefully first, then make a decision: | Thomas and his friends took 1 / 4 * 200 = 50 bars. The total number of bars left in the box was 200 - 50 = 150 bars. Since there are five of them sharing, each of them got 50 / 5 = 10 bars. After a friend returned 5 bars, there were 150 + 5 = 155 bars in the box. Piper took five fewer bars, that is 50 - 5 = 45 bars. The total remaining bars left in the box is 155 - 45 = 110 bars. So the answer is 110. |
Lyla, a grocery store owner, bought rice weighing 30 kg less than green beans, which weigh 10 kg more than sugar. While carrying the goods to the store, the bags fell down and 1/3 weight of the rice and 1/5 weight of sugar was lost. If the green beans weighed 60 kgs, then how much did the remaining stock weigh? Think carefully first, then make a decision: | If rice weighed 30 kg less than the green beans, then the total rice weight is 60 kg - 30 kg = 30 kg. If the green beans weighed 10 kg more than sugar, then the total sugar weight is 60 kg - 10 kg = 50 kg. When 1 / 3 weight of rice was lost, the weight loss became 1 / 3 * 30 = 10kg. The weight of rice after the loss is 30 kg - 10 kg = 20 kg. When 1 / 5 weight of sugar was lost, the lost weight was 1 / 5 * 50 kg = 10 kg. The weight of sugar after the loss is 50 kg - 10 kg = 40 kg. The total weight for all the items is 40 kg + 20 kg + 60 kg = 120 kg. So, the answer is 120. |
Charles is jogging while listening to his favorite album. He runs at 6 MPH when he's got music on and 4 MPH when he doesn't. His album is 40 minutes long. How many minutes will it take him to jog 6 miles? Think carefully first, then make a decision: | He runs at .1 miles per minute because 6 / 60 = .1. While the album is playing he can run 4 miles because 40 x .1 = 4. He has to run 2 miles without the album because 6 - 4 = 2. Without music he runs 1 / 15 miles per minute because 4 / 60 = 1 / 15. He will run the remaining 2 miles in 30 minutes because 2 / (1 / 15) = 30. It will take him 70 minutes in total because 40 + 30 = 70. So, the answer is 70. |
Give the step-by-step reasoning process and then the final answer. Annie has 6 barrettes, twice as many scrunchies as barrettes, and three fewer bobby pins than barrettes. What percentage of her hair decorations are bobby pins, rounded to the nearest percent? | First find the total number of scrunchies: 6 barrettes * 2 = 12 scrunchies. Then subtract three fewer bobby pins than barrettes 6 - 3 = 3 bobby pins. Then add the number of each type of hair decorations to find the total number: 6 decorations + 12 decorations + 3 decorations = 21 decorations. Then divide the number of bobby pins by the total number of decorations and multiply by 100% to express the answer as a percentage: 3 bobby pins / 21 decorations * 100% = 14.28 which rounds down to 14%. The final answer: 14. |
James gets a fleet of gas transportation vans. He gets 6 vans. 2 of them are 8000 gallons. 1 of them is 30% less than that. The remaining trucks are 50% larger than the 2 trucks. How many gallons can he transport? Thoughts? Step-by-step reasoning: | His smaller truck is 8000 * .3 = 2400 gallons smaller. So it can transport 8000 - 2400 = 5600 gallons. There are 6 - 2 - 1 = 3 of the very large trucks. Those trucks are each 8000 * .5 = 4000 gallons larger. So they can transport 8000 + 4000 = 12000 gallons. So in total they transport 3 * 12000 = 36000. The 8000 - gallon trucks can transport 8000 * 2 = 16000 gallons. So in total he can transport 5600 + 16000 + 36000 = 57600 gallons. Thus, the answer is 57600. |
Crystal wanted to sell everything left in her pastry class before closing for the night. She reduced her $3.00 cupcakes and her $2.00 cookies by half. How much money did she make if she sold the last 16 cupcakes and 8 cookies? Let's think first. Chain of thought: | She reduced the price of the $3.00 cupcakes by half so they are now 3 / 2 = $1.50. She reduced the price of the $2.00 cookies by half so they are now 2 / 2 = $1.00. She sold 16 cupcakes at $1.50 each so she made = 16 * 1.50 = $24.00. She sold 8 cookies at $1.00 each so she made 8 * 1 = $8.00. She made $24.00 from the cupcakes and $8.00 from the cookies for a total of 24 + 8 = $32.00. Therefore, the answer is 32. |
Robi and Rudy contributed money to start a business that could earn them profit. Robi contributed $4000, and Rudy contributed 1/4 more money than Robi. If they made a profit of 20 percent of the total amount and decided to share the profits equally, calculate the amount of money each got. Give me reasons, before answering the question | If Robi contributed $4000, then Rudy contributed 1 / 4 * 4000 = $1000 more. The total amount of money Rudy contributed is $4000 + $1000 = $5000. Together, the contributed a total of $5000 + $4000 = $9000. They made a 20% profit, a total of 20 / 100 * $9000 = $1800. When they decided to share the profit equally, each received $1800 / 2 = $900. So the final answer is 900. |
Billy is counting the rings in two trees. Weather fluctuations in this area mean that each tree's rings are in groups of two fat rings and four thin rings. If Billy counts 70 ring groups in the first tree and 40 ring groups in the second tree, how much older is the first tree? (Trees grow 1 ring per year.) Thoughts? Step-by-step reasoning: | First find the total number of rings in a ring group: 2 rings + 4 rings = 6 rings. Then subtract the number of ring groups in the second tree from the number in the first tree to find the difference: 70 groups - 40 groups = 30 groups. Then multiply that number by the number of rings in a group to find the difference in the trees' ages: 30 groups * 6 rings / group = 180 rings, or 180 years. Thus, the answer is 180. |
Peyton Manning throws a football 20 yards when the temperature is 50 degrees Fahrenheit, but the ball moves twice as far when the temperature is 80 degrees Fahrenheit. Last Saturday, the temperature was 50 degrees Fahrenheit, and he threw the ball twenty times. On Sunday, the temperature rose to 80 degrees Fahrenheit, and he threw the ball 30 times. Calculate the total number of yards he threw the ball in the two days. Let's think first. Chain of thought: | On Saturday, he threw the ball 20 times, and since the temperature was 50 degrees, he could throw only 20 yards, totaling 20 * 20 = 400 yards. On Sunday, the temperature favored him, and he threw the ball twice the distance he could throw on Saturday, which is 2 * 20 = 40 yards. If he threw the ball 30 times, he threw for 30 * 40 = 1200 yards. In the two days, he threw 1200 + 400 = 1600 yards. Therefore, the answer is 1600. |
Give the step-by-step reasoning process and then the final answer. The age difference between Asaf and Alexander's age is half the total number of pencils Asaf has. The sum of their ages is 140, and Asaf is 50 years old. If Alexander has 60 more pencils than Asaf, calculate the total number of pencils they have together. | If the sum of their ages is 140, and Asaf is 50 years old, Alexander is 140 - 50 = 90 years old. The age difference between Asaf and Alexander's age is 90 - 50 = 40. Since the age difference between Asaf and Alexander's age is half the total number of pencils Asaf has, Asaf has 2 * 40 = 80 pencils. If Alexander has 60 more pencils than Asaf, Alexander has 80 + 60 = 140 pencils. Together, they have 140 + 80 = 220 pencils. The final answer: 220. |
Question: A special balloon increases by two-fifths of its previous volume every hour when placed under water. If its original volume is 500cm3, what will its volume be after 2 hours underwater? Think carefully first, then make a decision: | In the first hour, the balloon will increase in volume by two - fifths of 500cm3 which is (2 / 5) * 500cm3 = 200cm3. After the first hour, it will have a volume of (500 + 200)cm3 = 700cm3. In the second hour, it will increase in volume by two - fifths of 700cm3 which is (2 / 5) * 700cm3 = 280cm3. After the second hour, it's volume will be (700 + 280)cm3 = 980cm3. So the answer is 980. |
Lizzy: Bob's school track is 400 meters. If Bob ran the first lap in 70 seconds, the second and third lap in 85 seconds each, what was his average speed in (m/s) for his entire run?. Me: Hmmm, let me think. I think this is the detailed solution: | If each lap is 400 meters long, then 3 laps will have a total distance of 400 * 3 = 1200 meters. The total time he ran was 70 on the first lap + 85 on the second one and 85 on the third lap, so his total running time was = 70 + 85 + 85 = 240 seconds. His average speed then is measured by the total distance he ran (1200) divided by the total time required (240) or 1200 / 240 = 5 m / s. Final answer: 5. |
A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day? Options: (A) 22 (B) 66 (C) 28 (D) 41 (E) 61 Stream of consciousness first, then make a decision: | (1 man + 1 woman)'s 1 day work = (1/3 + 1/4) = 7/12 Work done by 1 man and 1 woman in 1/4 day = (7/12 * 1/4) = 7/48 Remaining work = (1 - 7/48) = 41/48 Work done by 1 boy in 1/4 day = ( 1/12 * 1/4) = 1/48 Number of boys required = 41/48 * 41 = 41. Thus, the answer is (D). |
In the epilogue of Deathly Hallows, which is set 19 years after Voldemort's death, Harry and Ginny are a couple and have three children: James Sirius Potter, who has already been at Hogwarts for at least one year, Albus Severus Potter, who is starting his first year there, and Lily Luna Potter, who is two years away from her first year at the school. Based on this passage, who does harry potter have a baby with? Let's give stream of consciousness first: | To answer the question, consider the following: In the epilogue of Deathly Hallows, which is set 19 years after Voldemort's death, Harry and Ginny are a couple and have three children: James Sirius Potter, who has already been at Hogwarts for at least one year, Albus Severus Potter, who is starting his first year there, and Lily Luna Potter, who is two years away from her first year at the school. So, the final answer is Ginny. |
A swimming pool is being emptied through a drain at the bottom of the pool and filled by a hose at the top. The drain can empty the pool in 4 hours and the hose can fill the pool in 6 hours. The pool holds 120 liters of water. If the pool starts filled with water, how much water will be left after 3 hours? Give me reasons, before answering the question | It takes the drain 4 hours to empty the pool, so it drains at a rate of 120 liters / 4 hours = 30 liters / hour. After 3 hours, the drain will have removed 3 * 30 = 90 liters of water from the pool. It takes the hose 6 hours to fill the pool, so it fills at a rate of 120 liters / 6 hours = 20 liters / hour. After 3 hours, the hose will have added 3 * 20 = 60 liters of water to the pool. After 3 hours, there will be 120 liters + 60 liters – 90 liters = 90 liters of water left in the pool. So the final answer is 90. |
My question is: Amanda is figuring out how many bags of grass seed she needs to buy to cover a new lot the city is turning into a park. The lot measures 120 feet by 60 feet. One section that measures 40 feet by 40 feet will be covered with concrete, and the rest needs to be covered in grass seeds. Each bag of grass seeds covers 56 square feet. How many bags of grass seeds does Amanda need? Your thoughts: | First find the area of the lot by multiplying the width and the length: 120 ft * 60 ft = 7200 sq ft. Then find the area of the square covered in concrete: 40 ft * 40 ft = 1600 sq ft. Then subtract the concrete area from the total area to find the grassy area: 7200 sq ft - 1600 sq ft = 5600 sq ft. Finally, divide this area by the area each bag covers to find the number of bags: 5600 sq ft / 56 sq ft / bag = 100 bags. The final answer: 100. |
Answer the following Q with stream of consciousness. Context: The program sometimes does not start until after 7: 00 p.m. Eastern, due largely to CBS' live broadcast of NFL games. At the conclusion of an NFL game, 60 Minutes will air in its entirety. However, on the West Coast (and all of the Mountain Time Zone), because the actual end of the live games is much earlier in the afternoon in comparison to the Eastern and Central time zones, 60 Minutes is always able to start at its normal start time of 7: 00 p.m. Pacific Time, leaving affiliates free to broadcast local news, the CBS Evening News, and other local or syndicated programming leading up to 60 Minutes. The program's success has also led CBS Sports to schedule events (such as the final round of the Masters Tournament and the second round and regional final games of the NCAA Men's Basketball Tournament) leading into 60 Minutes and the rest of the network's primetime lineup, thus (again, except on the West Coast) pre-empting the Sunday editions of the CBS Evening News and affiliates' local newscasts. Question: when does 60 minutes come on west coast? | The relevant information to answer the above question is: However, on the West Coast (and all of the Mountain Time Zone), because the actual end of the live games is much earlier in the afternoon in comparison to the Eastern and Central time zones, 60 Minutes is always able to start at its normal start time of 7: 00 p.m. Pacific Time, leaving affiliates free to broadcast local news, the CBS Evening News, and other local or syndicated programming leading up to 60 Minutes. Therefore, the final answer is 7 : 00 p.m. Pacific Time. |