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ayushrupapara
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flanv2_cot_dedepulicated

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Bobby has 16 toy cars, and the number of cars he has increases by 50% every year. How many toy cars will Bobby have in three years? Let's think first. Chain of thought:	In the first year, Bobby will acquire 16 * .5 = 8 new cars. After the first year, he will have a total of 16 + 8 = 24 cars. In the second year, Bobby will acquire 24 * .5 = 12 new cars. After the second year, he will have 24 + 12 = 36 cars in total. In the third year, Bobby will acquire 36 * .5 = 18 new cars. After the...
Passage: The film is often cited as containing one of the greatest car chase sequences in movie history. The chase involves Popeye commandeering a civilian's car (a 1971 Pontiac LeMans) and then frantically chasing an elevated train, on which a hitman is trying to escape. The scene was filmed in Bensonhurst, Brooklyn r...	The relevant information is: The scene was filmed in Bensonhurst, Brooklyn roughly running under the BMT West End Line (currently the D train, then the B train) which runs on an elevated track above Stillwell Avenue, 86th Street and New Utrecht Avenue in Brooklyn, with the chase ending just north of the 62nd Street sta...
Mr. Callen bought 10 paintings at $40 each and 8 wooden toys at $20 each from the crafts store to resell at a profit. However, when he sold the items, the selling price of a painting was 10% less and the selling price of a hat 15% less. Calculate the total loss Mr. Callen made from the sale of the items. Let's think fi...	If he sold a painting at a 10% loss, then he made a 10 / 100 * $40 = $4 loss on each painting. since he bought 10 paintings, the total loss he made from selling the paintings is 10 * $4 = $40. He also made a loss of 15 / 100 * 20 = $3 loss from selling each wooden toy. Since he bought 8 wooden toys, the total loss he m...
Fern is checking IDs to get into an R-rated movie. She denied 20% of the 120 kids from Riverside High, 70% of the 90 kids from West Side High, and half the 50 kids from Mountaintop High. How many kids got into the movie? Let's think first. Chain of thought:	First find how many kids from Riverside High are rejected: 20% * 120 kids = 24 kids. Then find how many kids from West Side High are rejected: 70% * 90 kids = 63 kids. Then find how many kids from Mountaintop High are rejected: 50 kids / 2 = 25 kids. Then add the number of kids from each school to find the total number...
Stephanie Courtney (born February 8, 1970) is an American actress and comedian, best known for playing the advertising character Flo in television and radio commercials for Progressive Corporation beginning in 2008, and noted for her recurring roles on several television series, including the voices of Renee the Recept...	The relevant information to answer the above question is: Stephanie Courtney (born February 8, 1970) is an American actress and comedian, best known for playing the advertising character Flo in television and radio commercials for Progressive Corporation beginning in 2008, and noted for her recurring roles on several t...
A family has three adults and children, both girls and boys. They went out for a family trip and prepared 3 dozen boiled eggs for the trip. Every adult got 3 eggs, and the boys each received 1 more egg than each girl since the girls had some snacks. How many boys went on the trip if the number of girls was 7 and each g...	The total number of eggs the family had is 3 * 12 = 36 eggs. If each adult received 3 eggs, the total number of eggs they got is 3 * 3 = 9 eggs. The children shared 36 - 9 = 27 eggs. Since each girl received an egg, the boys shared 27 - 7 = 20 eggs. If each boy received 1 egg more than each girl, each received 1 + 1 = ...
Question: Andy is a lawyer who's working on two lawsuits. The first lawsuit has a 30% chance of paying out $5,000,000 upon a win and $0 if he loses it. The second lawsuit has a 50% chance of paying out $1,000,000 if Andy loses and a 50% chance of paying out $2,000,000 if he wins. Expressed as a percentage, how much mor...	First find the probability that Andy will lose the first lawsuit: 100% - 30% = 70%. Then multiply that probability by the probability he loses the second lawsuit: 70% * 50% = 35%. Then multiply the probabilities of Andy winning each lawsuit to find the probability he wins them both: 30% * 50% = 15%. Then subtract the p...
To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza. Give me reasons, before answering ...	To make the pizza, Kimber half as many teaspoons of salt as the number of cups of flour, meaning she needs 1 / 2 * 16 = 8 teaspoons of salt. The total number of cups of flour and teaspoons of salt she needs is 8 + 16 = 24. She also needs 10 cups of water, which means the total number of cups of water and flour and teas...
An aquarium holds an equal number of clownfish and blowfish. 26 of the blowfish stay in their own tank, and the remaining blowfish swim into a display tank. An equal number of clownfish join the blowfish in the display tank, but then a third of these clownfish swim back into their own tank. If the aquarium holds a comb...	There is an equal number of clownfish and blowfish, which means there are 100 fish / 2 = 50 blowfish. Since some stay in their tanks, there are 50 blowfish – 26 blowfish = 24 blowfish in the display tank. There were the same amount of clownfish until 24 clownfish / 3 = 8 clownfish swam back to their own tank. This leav...
I got a question for you: The 2024 Summer Olympics (French: Jeux olympiques d'été de 2024), officially known as the Games of the XXXIII Olympiad, (French: Jeux de la XXXIIIe Olympiade) and commonly known as Paris 2024, is a forthcoming international multi-sport event that is scheduled to take place from 26 July to 11 A...	To answer the question, consider the following: The 2024 Summer Olympics (French: Jeux olympiques d'été de 2024), officially known as the Games of the XXXIII Olympiad, (French: Jeux de la XXXIIIe Olympiade) and commonly known as Paris 2024, is a forthcoming international multi-sport event that is scheduled to take plac...
Question: Which of the following is not divisible by 4? Options: (A) 10236 (B) 21792 (C) 47816 (D) 91232 (E) 72034 Let's think first. Some random reasoning:	Divisibility rule of 4: Last two digits of the number should be divisible by 4 Option A: 10236, last two digits = 36. Divisible by 4 Option B: 21792, last two digits = 92. Divisible by 4 Option C: 47816, last two digits = 16. Divisible by 4 Option D: 91232, last two digits = 32. Divisible by 4 Option E: 72034, last two...
Tony has a terrible toothache and decides to buy some painkillers from the store. He picks up a bottle of 50 pills and takes them home. He takes 2 pills each day three times a day for the first 2 days, before cutting this amount in half for the next 3 days. On the sixth day, he takes a final 2 pills in the morning and ...	Tony starts with 50 pills and takes 2 pills each 3 times a day, meaning he takes 2 * 3 = 6 pills in total. Tony repeats this process for two days in total, meaning over those two days he takes 2 * 6 = 12 pills. Tony then cuts down his pill usage in half, meaning he's now taking 6 / 2 = 3 pills a day. Since he repeats t...
When it rains, the three holes in the garage roof leak water at different rates. The largest hole leaks at a rate of 3 ounces of water per minute. The medium-sized hole leaks water at one-half the rate of the largest hole. And the smallest hole leaks water at a rate of one-third the rate of the medium-sized hole. When ...	The medium - sized hole leaks at a rate of one - half that of the largest hole, or 3 / 2 = 1.5 ounces per minute. The small - sized hole leaks at a rate of one - third that of the medium - sized hole, or 1.5 / 3 = 0.5 ounces per minute. Combined, the three holes leak at a rate of 3 + 1.5 + 0.5 = 5 ounces per minute. Si...
Give the step-by-step reasoning process and then the final answer. Sabrina went to the library and found a historical series novel called The Rangers Apprentice. There are 14 books in the series, and each book has 200 pages. She read four books in a month and half the number of books remaining in the second month. What...	The total number of pages in the series is 14 books * 200 pages / book = 2800 pages. Sabrina read 4 books * 200 pages / book = 800 pages in the first month. She still has 14 books - 4 books = 10 books after reading four books. In the second month, she read 1 / 2 * 10 books = 5 books. The total number of pages she read ...
Lizzy: Yolanda leaves home for work at 7:00 AM, riding her bike at 20 miles per hour. 15 minutes after she leaves, her husband realizes that she forgot her lunch, and jumps in the car to bring it to her. If he drives at 40 miles per hour and follows the exact same route as Yolanda, how many minutes will it take him to ...	Let x be the number of minutes it takes Yolanda's husband to catch her. We know that Yolanda will spend a total of x + 15 minutes riding her bike since she left 15 minutes before her husband. The distance each person travels is equal to their travel speed times the number of minutes they spend traveling. That means Yol...
Jill and her brother Jack are going apple picking. Jill's basket can hold twice as much as Jack's basket when both are full. Jack's basket is full when it has 12 apples, but currently space for 4 more. How many times could Jack's current number of apples fit into Jill's basket? Let's be accurate as possible.	Since Jill's basket can hold twice as much as Jack's, and Jack's is capable of holding 12 apples in total, this means Jill's basket can hold 12 * 2 = 24 apples in total. Since Jack has 4 less than the maximum amount of apples he can fit in his basket, this means Jack has 12 - 4 = 8 apples in his basket. Therefore, Jill...
There are 16 people at a dinner party. There are 40 dinner rolls available for them. Half the people eat 1 1/2 rolls each. The other half eat 1/2 a roll each. How many dinner rolls are leftover? Thoughts? Step-by-step reasoning:	Half the people at the party is 16 / 2 = 8 people. 8 people at the party eat 1 1 / 2 rolls each, 8 x 1 1 / 2 = 12 dinner rolls eaten. 8 people at the party eat 1 / 2 a roll each, 8 x 1 / 2 = 4 dinner rolls eaten. Combined, the people at the party ate 12 + 4 = 16 dinner rolls. There were originally 40 dinner rolls - 16 ...
Mark has two pets, a hare that runs 10 feet/second and a turtle that crawls 1 foot/second. If they're going to run a 20 foot-race, how much of a head start (in seconds) does the turtle need to finish in a tie? Give me reasons, before answering the question	We can find how long the hare spends running by dividing the distance of the race by the hare's speed: 20 feet / 10 feet / second = 2 seconds. We can do the same for the turtle: 20 feet / 1 foot / second = 20 seconds. Finally, subtract the hare's run time from the turtle's run time to find the length of the head start ...
From among the 39 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done? Options: (A) 1360 (B) 1260 (C) 1060 (D) 1482 (E) 1460 Stream of consciousness first, then make a decision:	There are 39 students and every one has equal chance of being selected as a leader. Hence, the leader can be appointed in 39 ways. When one person is appointed as leader, we are left with 35 students. Out of these 38 teachers, we can select one class representative. So, a class representative can be selected in 38 ways...
Three cats sat on a fence, meowing at the moon. The first cat meowed 3 times per minute. The second cat meowed twice as frequently as the first cat. And the third cat meowed at one-third the frequency of the second cat. What is the combined total number of meows the three cats make in 5 minutes? Thoughts? Step-by-step ...	The second cat meowed twice as frequently as the three meows per minute from the first cat, for a total of 2 * 3 = 6 meows per minute. The third cat meowed at one - third the frequency of the second cat, for a total of 6 / 3 = 2 meows per minute. Thus, combined, the three cats meow 3 + 6 + 2 = 11 times per minute. In f...
Liza bought 10 kilograms of butter to make cookies. She used one-half of it for chocolate chip cookies, one-fifth of it for peanut butter cookies, and one-third of the remaining butter for sugar cookies. How many kilograms of butter are left after making those three kinds of cookies? Thoughts? Step-by-step reasoning:	Liza used 10 / 2 = 5 kilograms of butter for the chocolate chip cookies. Then, she used 10 / 5 = 2 kilograms of butter for the peanut butter cookies. She used 5 + 2 = 7 kilograms of butter for the chocolate and peanut butter cookies. So, only 10 - 7 = 3 kilograms of butter was left. Then, Liza used 3 / 3 = 1 kilograms ...
Kantana loves chocolate. Every Saturday she goes to the candy store and buys 2 chocolates for herself and 1 for her sister. This last Saturday she picked up an additional 10 chocolates as a birthday gift for her friend Charlie. How many chocolates did Kantana end up buying for the month? Give me reasons, before answeri...	There is 1 Saturday in a week and there are 4 weeks in a month so there are 1 * 4 = 4 Saturdays in a month (on average). If Kantana buys herself 2 chocolates every Saturday then this means she buys 2 * 4 = 8 chocolates for herself for the month. Kantana also buys her sister 1 chocolate on these trips so she is picking ...
Lizzy: A bathroom has 10 6 inch tiles along its width and 20 6 inch tiles along its length. What is the square footage of the bathroom?. Me: Hmmm, let me think. I think this is the detailed solution:	There are 10 tiles that are 6 inches long running the width of the bathroom so it is 10 * 6 = 60 inches long. There are 12 inches in a foot and it’s 60 inches wide so it is 60 / 12 = 5 feet wide. There are 20 tiles that are 6 inches long running the length of the bathroom so it’s 20 * 6 = 120 inches long. There are 12 ...
Derek is watching the construction cranes downtown and is trying to figure out how much taller they have to be than the building they are building. He sees one crane that is 228 feet tall finishing a building that was 200 feet tall. He sees another that is 120 feet tall finishing a building that is 100 feet tall. The f...	The first crane is 14 percent taller because if 200 + 200x = 228 then x = .14. The second crane is 20 percent taller because if 100 + 100x = 120 then x = .2. The third crane is 5 percent taller because if 140 + 140x = 147 then x = .5. The total percent is 39 because 14 + 20 + 5 = 39. The average percent greater the hei...
Give the step-by-step reasoning process and then the final answer. Tara has been planning to buy a laptop which costs $1000. A computer shop accepts payment in installments of $65 per month provided that a 20% down payment is made. If Tara wants to pay an additional $20 for the down payment, how much will her balance b...	Tara has to make a $1000 x 20 / 100 = $200 down payment. Since Tara wants to pay $20 more for the down payment, her total down payment will be $200 + $20 = $220. So her remaining balance payable over a year is $1000 - $220 = $780. Tara has to make a monthly payment of $780 / year / 12 months / year = $65 / month. The t...
My question is: There are 480 grains of rice in one cup. If half a cup is 8 tablespoons and one tablespoon is 3 teaspoons, how many grains of rice are in a teaspoon? Your thoughts:	First find the number of tablespoons in a full cup: 8 tablespoons / half - cup * 2 half - cups / cup = 16 tablespoons. Then find the total number of teaspoons in a cup: 16 tablespoons / cup * 3 teaspoons / tablespoon = 48 teaspoons. Then find the number of grains of rice per teaspoon: 480 grains / 48 teaspoons = 10 gra...
Cadence has worked for her new company five months longer than she worked for her old company. If she worked at her old company for 3 years earning $5000 per month, and she's now earning 20% more in the new company, calculate the total amount of money she's earned in both companies in the period she's worked for them? ...	In her old company, if she worked for three years, the total number of months she was paid for is 3 years * 12, which is the number of months in a year = 36 months. If each month she was paid $5000, her total earnings in the old company were $5000 * 36 = $180000. In her new company, she is paid 20% more, which is 20 / ...
Rick has 130 cards. He decided to only keep 15 cards and so he gave Miguel some of the cards. Then, he saw 8 friends and decided to give them 12 cards each, and the remaining cards were given equally to his 2 sisters. If each of Rick's sisters got 3 cards, how many cards did Rick give to Miguel? Give me reasons, before...	After keeping 15 cards, Rick had 130 cards - 15 cards = 115 cards left. The total number of cards given by Rick to his 8 friends was 8 friends x 12 cards / friend = 96 cards. There were 2 sisters x 3 cards / sister = 6 cards given to Rick's sisters. So, there were 96 cards + 6 cards = 102 cards left after Rick gave Mig...
Five months ago, Mike earned 10 times more money than Fred. If his salary has increased by 40 percent now, and Fred's salary then was $1000, calculate Mike's salary now. Think carefully first, then make a decision:	Five months ago, Mike earned ten times more money than Fred, and since Fred earned $1000, Mike earned 10 * 1000 = $10000 more than Fred. The total amount of money that Mike earned five months ago is $10000 + $1000 = $11000. Mikes salary has increased by 40 / 100 * $11000 = $4400. Mike's current salary is $11000 + $4400...
If X is the sum of first 20 positive even integers and Y is the sum of first 20 positive odd integers, what is the value of x-y? Please try to explain your answers Options: (A) 0 (B) 20 (C) 50 (D) 75 (E) 100 OK. Let's think. Some random thoughts first:	First even minus first odd = 2-1 = 1; The sum of first 2 even integers minus the sum of first 2 odd integers = (2+4)-(1+3) = 2; The sum of first 3 even integers minus the sum of first 3 odd integers = (2+4+6)-(1+3+5) = 3; We can see the patterns here, so the sum of first 20 positive even integers minus the sum of first...
Last year Jessica paid $1000 for rent, $200 for food, and $100 for car insurance each month. This year her rent goes up by 30%, food costs increase by 50%, and the cost of her car insurance triples because she was at fault in an accident. How much more does Jessica pay for her expenses over the whole year compared to l...	First find the increase in rent by multiplying last year's rent by 30%: $1000 * .3 = $300. Then find the food cost increase by multiplying last year's costs by 50%: $200 * .5 = $100. Then find the new car insurance price by multiplying last year's price by 3: $100 * 3 = $300. Then subtract the cost of car insurance las...
Marla is planning the lunch menu for an elementary school. There are 5 third grade classes with 30 students each, 4 fourth grade classes with 28 students each, and 4 fifth grade classes with 27 students each. Each student gets a hamburger, which costs $2.10, some carrots, which cost $0.50, and a cookie, which cost $0.2...	First find the total number of students in third grade 5 classes * 30 students / class = 150 students. Then find the total number of students in fourth grade 4 classes * 28 students / class = 112 students. Then find the total number of student in fifth grade 4 classes * 27 students / class = 108 students. Now add the n...
Q: Passage: Tourism in Iceland has grown considerably in economic significance in the past 15 years. As of 2016, the tourism industry is estimated to contribute about 10 percent to the Icelandic GDP; the number of foreign visitors is set to exceed 2,000,000 by the end of 2017; tourism is responsible for a share of near...	To answer the above question, the relevant sentence is: As of 2016, the tourism industry is estimated to contribute about 10 percent to the Icelandic GDP; the number of foreign visitors is set to exceed 2,000,000 by the end of 2017; tourism is responsible for a share of nearly 30 percent of the country's export revenue...
Lizzy: Mark buys a loaf of bread for $4.20 and some cheese for $2.05. He gives the cashier $7.00. If the cashier only has 1 quarter and 1 dime in his till, plus a bunch of nickels, how many nickels does Mark get in his change?. Me: Hmmm, let me think. I think this is the detailed solution:	First subtract the cost of Mark's groceries from the amount he gives the cashier to find how much he gets in change: $7.00 - $4.20 - $2.05 = $0.75. Then subtract the value of a quarter in cents (25) and the value of a dime in cents (10) from the change amount to find how much Mark gets paid in nickels: $0.75 - $0.25 - ...
Stephanie is decorating 24 cupcakes for a birthday party, but she needs more candles. She currently has a total of 30 candles. She wants to decorate half of the cupcakes with 1 candle each and the other half of the cupcakes with 2 candles each. How many additional candles does Stephanie need to complete the cupcakes? T...	For half of the cupcakes, Stephanie wants to use 1 candle each. Since half of the cupcakes is 24 / 2 and she plans to use 1 candle each for this half of the cupcakes, Stephanie needs (24 / 2) * 1 = 12 candles for this half of the cupcakes. For the other half of the cupcakes, Stephanie wants to use 2 candles. Therefore,...
My question is: Rosie runs 6 miles per hour. She runs for 1 hour on Monday, 30 minutes on Tuesday, 1 hour on Wednesday, and 20 minutes on Thursday. If she wants to run 20 miles for the week, how many minutes should she run on Friday? Your thoughts:	On Monday and Wednesday, Rosie runs 6 * 1 = 6 miles. On Tuesday, Rosie runs 6 * (30 minutes / 60 minutes) = 3 miles. On Thursday, Rosie runs 6 * (20 minutes / 60 minutes) = 2 miles. So far this week Rosie has run 6 + 3 + 6 + 2 = 17 miles. To reach her goal, she must run 20 - 17 = 3 miles on Friday. Thus, she should run...
Lizzy: If Billy and Jenny each order a $20 steak along with a $5 drink, how much will Billy have to pay in tips if he wants to cover 80% of a 20% tip for the two of them?. Me: Hmmm, let me think. I think this is the detailed solution:	First, we figure out the price per meal by adding the steak and the drink together, finding a cost of 20 + 5 = 25 per meal. Then we multiply this by 2, as there are two people eating, meaning a total cost of 25 * 2 = 50 for both meals. Then we find the total tip amount for a 20% tip, by multiplying 50 * .2 = 10. Then w...
Anthony and his friend Leonel read about the importance of keeping pets at home and decided to start adopting cats and dogs from the local rescue center. Anthony has 12 cats and dogs, 2/3 of which are cats. Leonel has half times as many cats as Anthony and seven more dogs than Anthony. How many animals in total do the ...	If Anthony has 12 pets, the number of cats is 2 / 3 * 12 pets = 8 cats. The number of dogs that Anthony have is 12 pets - 8 cats = 4 dogs. Leonel has 1 / 2 * 8 cats = 4 cats. If Leonel has seven more dogs than Anthony, then he has 4 dogs + 7 dogs = 11 dogs. The total number of pets the two have is 11 dogs for Leonel + ...
How many digits are in the number 50 ⁇ 8 ⁇ 8 ⁇ 3 ⁇ 11 ⁇ 2 x 10 ⁇ 2? Options: (A) 22 (B) 20 (C) 21 (D) 18 (E) 17 Think first, then make a decision. Some 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 ⁇ 2 x 10 ⁇ 2 = (5 ⁇ 22) ⁇ 82 ⁇ 911 ⁇ 2x 10 ⁇ 2 = 5 ⁇ 162 ⁇ 1711 ⁇ 2 x10 ⁇ 2 = 211 ⁇ 210 ⁇ 16x10 ⁇ 2 = 24210 ⁇ 18 He...
Give the step-by-step reasoning process and then the final answer. Kris is blowing u balloons for her sister’s party. She has 30 minutes to blow up as many balloons as possible and decides to enlist her brother’s help to increase the number of balloons. Kris can blow up a total of 2 balloon per minute, and her brother ...	Throughout the 30 minutes, Kris blows up 2 balloons per minute * 30 minutes = 60 balloons. Her brother works at double Kris' speed in the first 15 minutes so he works at 2 balloons per minute * 2 = 4 balloons per minute. So in the first 15 minutes, he blows up 4 balloons per minute * 15 minutes = 60 balloons. In the se...
Steve wanted to make a total of $100 within four days, so he took on a berry-picking job in Sweden. The job paid $2 for every pound of lingonberries picked. On Monday he picked 8 pounds. Tuesday’s harvest was triple what he had picked the previous day. On Wednesday he felt very tired and decided to rest. How many pound...	On Monday, Steve was paid 8 * 2 = 16 dollars. Tuesday’s harvest was 3 * 8 = 24 pounds. The 24 pounds Steve picked on Tuesday gave him 24 * 2 = 48 dollars. So, the amount Steve earned from the first two days on the job is 16 + 48 = 64 dollars. Since Steve rested on Wednesday, he made 0 dollars, meaning his earnings were...
Eminent domain (United States, Philippines), land acquisition (Singapore), compulsory purchase (United Kingdom, New Zealand, Ireland), resumption (Hong Kong, Uganda), resumption / compulsory acquisition (Australia), or expropriation (France, Italy, Mexico, South Africa, Canada, Brazil, Portugal, Spain, Chile, Denmark, ...	To answer this question, we should know that: Eminent domain (United States, Philippines), land acquisition (Singapore), compulsory purchase (United Kingdom, New Zealand, Ireland), resumption (Hong Kong, Uganda), resumption / compulsory acquisition (Australia), or expropriation (France, Italy, Mexico, South Africa, Can...
At a roller derby, 4 teams are competing. Each team is made up of 10 members, and each member needs a pair of roller skates to compete in and another pair of skates as a backup. None of the skates have laces yet, so each member is offered 3 sets of laces per pair of skates. How many sets of laces have been handed out? ...	There are a total of 4 teams * 10 members per team = 40 team members. Each person receives 1 pair of competing roller skates + 1 pair of backup roller skates = 2 pairs of roller skates. So there are a total of 40 team members * 2 pairs of roller skates per team member = 80 roller skates. There were therefore 80 roller ...
Question: James has an old printer that crumples every seventh page and blurs the ink on every third page. If he prints 42 pages, how many are neither crumpled or blurred? Think carefully first, then make a decision:	First find the total number of pages that are crumpled: 42 pages / 7 = 6 pages. Then find the total number of pages that are blurred: 42 pages / 3 = 14 pages. Then find the number of pages that are both blurred and crumpled by finding how many numbers are less or equal to 42 and divisible by both 3 and 7: there are two...
Austin bought his seven friends each a robot. Each robot costs $8.75. He was charged $7.22 total for tax. He left with $11.53 in change. How much did Austin start with? Let's think first. Chain of thought:	First we need to find the total amount for the robots. 7 robots * $8.75 per robot = $61.25 in total. Now we need to add in the tax $61.25 for the robots + $7.22 for tax = $68.47 total spent in store. Now to find what was the beginning amount we take the $68.47 total spent in - store + $11.53 in change = $80 to start. T...
Will Al Pacino and Margaret Qualley score same amount of Bacon Number points? Chain of thought:	The Bacon Number refers to a game in which people find how close a person is to the actor Kevin Bacon based on similar costars. Margaret Qualley was in Novitiate with Julianne Nicholson who was in Black Mass with Kevin Bacon (Bacon Number of 2). Al Pacino was in The Devil's Advocate with Charlize Theron who was in Trap...
Sam works at the Widget Factory, assembling Widgets. He can assemble 1 widget every 10 minutes. Jack from the loading dock can help assemble widgets when he doesn't have anything else to do. When he helps, they put together 2 complete widgets every 15 minutes. Recently the factory hired Tony to help assemble widgets. B...	Sam completes a widget every 10 minutes. When Jack helps they finish 2 in 15 minutes. Sam has finished 1 widget and has begun working on another one, and Jack finishes the second one at 15 minutes. So it takes Jack 15 minutes to complete a widget. Sam worked for 6 hours yesterday, so he was able to complete 6 hours * 6...
Give the step-by-step reasoning process and then the final answer. Lance has 70 cents, Margaret has three-fourths of a dollar, Guy has two quarters and a dime, and Bill has six dimes. How many cents do they have combined?	Margaret has 100 * 0.75 = $0.75. Guy has $0.25 + $0.25 + $0.10 = $0.60. Bill has 6 * $0.10 = $0.60. Lance, Margaret, Guy and Bill have $0.70 + $0.75 + $0.60 + $0.60 = $2.65. Thus they have $2.65 * 100 = 265 cents. The final answer: 265.
Sansa is a famous artist, she can draw a portrait and sell it according to its size. She sells an 8-inch portrait for $5, and a 16-inch portrait for twice the price of the 8-inch portrait. If she sells three 8-inch portraits and five 16-inch portraits per day, how many does she earns every 3 days? Let's think first. Ch...	Sansa earns $5 x 3 = $15 every day by selling three 8 - inch portraits. The price of the 16 - inch portrait is $5 x 2 = $10 each. So, she earns $10 x 5 = $50 every day by selling five 16 - inch portraits. Her total earnings is $50 + $15 = $65 every day. Therefore, the total amount she earns after 3 days is $65 x 3 = $1...
Mr Fletcher hired 2 men to dig a well in his compound. They worked for 10 hours on the first day, 8 hours on the second day and finished the job on the third day after working 15 hours. If Mr Fletcher paid each of them $10 per hour of work, calculate the total amount of money they received altogether? Think carefully f...	The total number of hours each worker works in the first 2 days is 10 + 8 = 18 hours. Since they completed the job in three days, each was compensated for 18 + 15 = 33 hours of work. Mr Fletcher paid each of the workers $10 per hour of work, meaning for 33 hours, each of the workers received 33 * $10 = $330. Since they...
Nurse Missy is attending to the needs of 12 patients in her hospital ward. Most of her patients require standard care, but one-third of her patients have special dietary requirements, which increases the serving time by 20%. At dinner time, she brings each patient their meal. It takes 5 minutes to serve each standard c...	Nurse Missy has 12 * (1 / 3) = 4 special needs patients. She has 12 - 4 = 8 standard care patients. Special needs patients take 20% longer to serve, which means serving takes 1.2 * 5 = 6 minutes per patient. To serve dinner to all of her standard care patients, it will take 5 * 8 = 40 minutes. To serve dinner to all of...
Janice can type 6 sentences per minute. Today at work, Janice continued working on a paper she started typing yesterday. She typed for 20 minutes, took a break, and typed 15 minutes longer. She then had to erase 40 sentences she had typed incorrectly. After a meeting, she typed for 18 minutes more. In all, the paper ha...	Janice had X sentences from yesterday already typed to start with today. Janice typed 6 * 20 = 120 sentences before her break. She typed 6 * 15 = 90 sentences after her break. She typed 6 * 18 = 108 sentences after her meeting. Therefore, she typed 120 + 90 + 108 = 318 sentences today in all. She had to erase 40 senten...
Martha is making centerpieces for her Thanksgiving dinner. There are six centerpieces, and each centerpiece uses 8 roses, twice as many orchids as roses, and a certain number of lilies. If Martha wants to spend $2700 total, and each flower costs $15, how many lilies will she put in each centerpiece? Give me reasons, be...	First figure out how many total flowers Martha is going to buy by dividing her total spending by the price per flower: $2700 / $15 / flower = 180 flowers. Now figure out how many flowers are in each centerpiece by dividing the total number of flowers by the number of centerpieces: 180 flowers / 6 centerpieces = 30 flow...
There are 6561 balls out of them 1 is heavy.Find the min. no. of times the balls have to be weighed for finding out the haevy ball. Options: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11 Hmmm, my stream of consciousness:	The simple logic is to divide total balls into three sets. Weigh any two sets against each other(these two must contain equal number of balls). From this we can identify which set contains the heavy ball. Divide this set into three and repeat until you find the heavier ball. Under this logic, the minimum number of weig...
Lizzy: Harry owns 3 geckos, 2 iguanas, and 4 snakes. If he spends $10 to feed each snake, $5 to feed each iguana, and $15 to feed each gecko every month, how much does he spend every year to feed all his pets?. Me: Hmmm, let me think. I think this is the detailed solution:	He spends $10 / snake * 4 snakes = $40 to feed his snakes every month. He spends $5 / iguana * 2 iguanas = $10 to feed his iguanas every month. He spends $15 / gecko * 3 geckos = $45 to feed his geckos every month. So overall he spends $40 + $10 + $45 = $95 to feed all his pets every month. Therefore every year pet foo...
In April, Tank gathered 10 more Easter eggs than Emma in their first round of egg hunt. However, Emma gathered twice as many eggs as Tank in their second round of egg hunt, while Tank's total number of eggs in the second round was 20 less than the number she had gathered in the first round. If the total number of eggs ...	Tank's total number of eggs in the second round was 60 / 2 = 30 since Emma gathered twice as many eggs as Tank in their second round of egg hunt. The total number of eggs that Emma and Tank gathered in the second round was 60 + 30 = 90. Tank's total number of eggs in the second round was 20 less than the number she had...
Luna's monthly food budget is equal to 60% of her house rental budget while her phone bill budget is 10% of her food budget. If the total budget of house rental and food budget is $240, how much is Luna's total monthly budget to pay all those expenses? Let's answer step by step:	Let x be Luna's house rental budget. The total budget for house and food rental is represented by the equation x + (60x / 100) = 240. The equation becomes 100x + 60x = 24000 after multiplying each term by 100 to get rid of the fraction. By combining like terms, the equation becomes 160x = 24000. Thus, the value of x is...
It takes 15 mink skins to make a coat. Andy buys 30 minks and each mink has 6 babies, but half the total minks are set free by activists. How many coats can he make? Thoughts? Step-by-step reasoning:	First find the total number of baby minks: 30 minks * 6 babies / mink = 180 minks. Add this to the number of adult minks: 180 minks + 30 minks = 210 minks. Then divide this number in half to find how many aren't set free: 210 minks / 2 = 105 minks. Then divide the remaining number of minks by the number of minks per co...
My question is: A bar of steel weighs twice the mass of a bar of tin. If a steel bar also weighs 20 kgs more than a copper bar and a copper bar weighs 90 kgs, calculate the total weight of a container with 20 bars of each type of metal. Your thoughts:	The total weight of 20 bars of copper is 20 * 90 = 1800kgs. If a copper bar weighs 90 kgs, and a steel bar weighs 20 kgs more than a copper bar, the weight of a steel bar is 90 + 20 = 110 kgs. If a bar of steel weighs 110 kgs, 20 bars will weigh 20 * 110 = 2200kgs. The total weight of 20 bars of copper and steel is 220...
Give the step-by-step reasoning process and then the final answer. A spaceship is traveling to another planet. The spaceship travels at a consistent speed its entire journey unless it is stopped for the crew’s break. After launch, the spaceship traveled for 10 hours then stopped for 3 hours. It then traveled for anothe...	On the first day, the spaceship spent a total of 10 hours + 10 hours = 20 hours traveling. On the first day, the spaceship spent a total of 3 hours + 1 hour = 4 hours not moving. This is a total of 20 hours traveling + 4 hours not moving = 24 hours or 1 day. So the rest of the journey took place over 3 days journey – 1...
Puerto Rico (Spanish for "Rich Port"), officially the Commonwealth of Puerto Rico (Spanish: Estado Libre Asociado de Puerto Rico, lit. "Free Associated State of Puerto Rico") and briefly called Porto Rico, is an unincorporated territory of the United States located in the northeast Caribbean Sea, approximately 1,000 mi...	To answer the above question, the relevant sentence is: Puerto Rico (Spanish for "Rich Port"), officially the Commonwealth of Puerto Rico (Spanish: Estado Libre Asociado de Puerto Rico, lit. "Free Associated State of Puerto Rico") and briefly called Porto Rico, is an unincorporated territory of the United States locate...
Give some stream of consciousness and then the answer. Hale is a surname. Lords of Loddon-Hales, Hale or "De Halys" traces back to Lord Roger De Halys circa 1130, whose descendant Lord Roger De Halys married Alice Scrogins circa 1275 whose daughter Alice Hale married Thomas, Prince of England (Son of Edward I of Englan...	To answer this question, we should know that: Lords of Loddon-Hales, Hale or "De Halys" traces back to Lord Roger De Halys circa 1130, whose descendant Lord Roger De Halys married Alice Scrogins circa 1275 whose daughter Alice Hale married Thomas, Prince of England (Son of Edward I of England), those who were the ances...
The giant-impact hypothesis, sometimes called the Big Splash, or the Theia Impact suggests that the Moon formed out of the debris left over from a collision between Earth and an astronomical body the size of Mars, approximately 4.5 billion years ago, in the Hadean eon; about 20 to 100 million years after the solar syst...	To answer the above question, the relevant sentence is: The giant-impact hypothesis, sometimes called the Big Splash, or the Theia Impact suggests that the Moon formed out of the debris left over from a collision between Earth and an astronomical body the size of Mars, approximately 4.5 billion years ago, in the Hadean...
Veronica's flashlight was bright enough to be seen at night from a distance of 1000 feet. Freddie's flashlight could be seen at night for a distance three times farther than Veronica's flashlight, and Velma's flashlight could be seen at night from a distance 2000 feet less than 5 times farther than Freddie's flashlight...	Freddie's flashlight could be seen at night for a distance three times farther than Veronica's flashlight, for a total distance of 3 * 1000 = 3000 feet. Five times farther than the distance from which Freddie's flashlight can be seen at night is 5 * 3000 = 15,000 feet. Velma's flashlight could be seen at night from a d...
A man is trying to maximize the amount of money he saves each month. In particular, he is trying to decide between two different apartments. The first apartment costs $800 per month in rent and will cost an additional $260 per month in utilities. The second apartment costs $900 per month and will cost an additional $20...	The mileage cost for the first apartment will be 31 * 20 * 0.58 = $359.60. This makes the total monthly cost of the first apartment 359.60 + 800 + 260 = $1419.60. Similarly, the mileage cost for the second apartment will be 21 * 20 * 0.58 = $243.60. Thus, the total monthly cost of the second apartment is 243.60 + 900 +...
A lot of people have been sick at Gary's workplace, so he's been working a lot of extra shifts to fill in for people. As a result, he's earned some overtime (where every hour after 40 he earns 1.5 times his normal wage.) His paycheck (before taxes are taken out) came out to $696. If Gary normally earns $12 per hour, ho...	Gary earned overtime, so he worked at least 40 hours. for which he was paid 40 hours * $12 / hour = $480 at his normal wage. This means that $696 - $480 = $216 was earned at his overtime wage. His overtime wage is 1.5 his normal wage, or $12 * 1.5 = $18 per hour. So Gary worked $216 / $18 per hour = 12 hours' worth of ...
Give the step-by-step reasoning process and then the final answer. Bailey needs to buy 2 new sets of towels for the guest bathroom and 4 new sets for her master bathroom. The set of towels for the guest bathroom are $40.00 each and the master bathroom set is $50.00 each. The store is currently offering 20% off so how m...	She needs 2 sets of guest towels that are $40.00 each so that’s 2 * 40 = $80.00. She needs 4 sets of master bath towels that are $50.00 each so that’s 4 * 50 = $200.00. Together, the towels will cost 80 + 200 = $280.00. The store is offering 20% off of her $280.00 towels so that’s 280 * .20 = $56.00 discount. Her $280....
Maltase (EC 3.2. 1.20, alpha-glucosidase, glucoinvertase, glucosidosucrase, maltase-glucoamylase, alpha-glucopyranosidase, glucosidoinvertase, alpha-D-glucosidase, alpha-glucoside hydrolase, alpha-1, 4-glucosidase, alpha-D-glucoside glucohydrolase) is an enzyme located in on the brush border of the small intestine that...	To answer the question, consider the following: Maltase (EC 3.2. 1.20, alpha-glucosidase, glucoinvertase, glucosidosucrase, maltase-glucoamylase, alpha-glucopyranosidase, glucosidoinvertase, alpha-D-glucosidase, alpha-glucoside hydrolase, alpha-1, 4-glucosidase, alpha-D-glucoside glucohydrolase) is an enzyme located in...
A family pays $800 per year for an insurance plan that pays 85 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total. Options: (A) $1,100 (B) $1,20...	Upfront payment for insurance plan = 800$ Family needs to pay 15 % of first 1000 $ in expense = 150$ Total amount paid by family when medical expenses are equal to or greater than 1000 $ = 800 + 150 = 950 $ Total amount paid by insurance plan for first 1000 $ = 800 $ Total amount paid by family will equal amount paid b...
Carrie works for $8 an hour and 35 hours a week at her job. It’s been a month since she started working there. She has saved up all of her money because she wants to buy a bike for $400. How much money will she have left over after she buys her bike? Let's think first. Chain of thought:	It will be easy to solve the problem by first calculating how much money she makes in a week at her job by multiplying her hourly rate by the number of hours she works in a week: $8 * 35 = $280 in a week. The weekly earnings need to be multiplied by the number of weeks in a month to get how much she made in a month: $2...
Bill is buying healthcare on an exchange. The normal monthly price of the plan he wants is $500. The government will pay for part of this cost depending on Bill's income: 90% if he makes less than $10,000, 50% if he makes between $10,001 and $40,000, and 20% if he makes more than $50,000. Bill earns $25/hour and works ...	First find how much money Bill makes every week by multiplying his hourly rate by the number of hours he works each week: $25 / hour * 30 hours / week = $750 / week. Then multiply that number by the number of weeks per month to find his monthly earnings: $750 / week * 4 weeks / month = $3,000 / month. Then multiply his...
I'll give you a question, please answer with step-by-step reasoning process. where did many colonial kingdoms originate? Options: - saudi arabia - europe - united states - book - monarchy	Europe is a continent located entirely in the Northern Hemisphere and mostly in the Eastern Hemisphere. There are seven kingdoms in Europe: Denmark, Norway, Sweden, the United Kingdom, Spain, the Netherlands and Belgium. Andorra, Liechtenstein, and Monaco are principalities, while Luxembourg is a Grand Duchy. The Vatic...
My question is: Bucky earns money each weekend catching and selling fish. He wants to save up for a new video game, which costs $60. Last weekend he earned $35. He can earn $5 from trout and $4 from blue-gill. He caught five fish this Sunday. If 60% were trout, and the rest were blue-gill, how much more does he need to...	He is $25 short for the game because 60 - 35 = 25. He caught 3 trout because 5 x .6 = 3. He caught 2 blue - gill because 5 - 3 = 2. He earned $15 from the trout because 3 x 5 = 15. He earned $8 from the blue - gill because 2 x 4 = 8. He earned $23 total because 15 + 8 = 23. He is $2 short because 25 - 23 = 2. The final...
A small zoo houses a variety of 68 wild animals. After they send a gorilla family of six to a different zoo, they adopt a hippopotamus from another zoo. A while later, an animal rescue contacted them, and the zoo took in three endangered rhinos. Then one of their lionesses gave birth to cubs, and they opened a meerkat ...	Let C be the number of lion cubs. There are 2C meerkats in the new exhibit. The zoo sent 4 gorillas away, so they had 68 - 6 = 62 animals left. They adopted a hippopotamus, so they had 62 + 1 = 63 animals. They took in 3 rhinos, so they had 63 + 3 = 66 animals. Thus, they had 90 - 66 = 24 new lion cubs and meerkats. Th...
A fan can create an airflow of 10 liters per second. If the fan works for 10 minutes each day, calculate the amount of airflow it will create in one week. Let's be accurate as possible.	If the fan works for 10 minutes each day, in a week with 7 days, it will have worked for 10 * 7 = 70 minutes. Since a minute has 60 seconds, the total time in seconds that the fan will have worked in one week is 70 * 60 = 4200 seconds. Since the fan can create an airflow of 10 liters per second, in 4200 seconds, it wil...
A bulk warehouse is offering 48 cans of sparkling water for $12.00 a case. The local grocery store is offering the same sparkling water for $6.00 and it only has 12 cans. How much more expensive, per can, in cents, is this deal at the grocery store? Give me reasons, before answering the question	The bulk warehouse has 48 cans for $12.00 so that's 12 / 48 = $0.25 a can. The local grocery store has 12 cans for $6.00 so that's 6 / 12 = $0.50 a can. The grocery store offer is $0.50 a can and the warehouse is $0.25 a can so the grocery store is .50 - .25 = $0.25 more expensive per can. So the final answer is 25.
Ann is cutting fabric to make curtains. She cuts a 4 foot by 6 foot rectangle for the living room, and a 2 foot by 4 foot rectangle for the bedroom. If the bolt of fabric is 16 feet by 12 feet, how much fabric is left in square feet? Think carefully first, then make a decision:	First figure out how many square feet the original bolt of fabric was: 16 feet * 12 feet = 192 square feet. Then figure out how much fabric Ann took for the living room curtains: 4 feet * 6 feet = 24 square feet. Then figure out how much fabric Ann took for the bathroom curtains: 2 feet * 4 feet = 8 square feet. Finall...
Some question: John has some chickens that have been laying him plenty of eggs. He wants to give away his eggs to several of his friends, but he wants to give them all the same number of eggs. He figures out that he needs to give 7 of his friends eggs for them to get the same amount, otherwise there is 1 extra egg left...	The number of eggs must be one more than a number that is divisible by 2, 3, 4, 5, and 6 since each of these numbers leave a remainder of 1. For this to be true one less than the number must be divisible by 5, 4, and 3 (6 is 23 and 2 is a factor of 4 so they will automatically be a factor). 5 4 * 3 = 60. Then you ju...
Lizzy: Seth and his brother want to see their favorite band in concert. The tickets are $50.00 each. There is a 15% processing fee for the tickets. They are also charged $10.00 for parking and an additional $5.00 per person entrance fee. How much will it cost to go to the concert?. Me: Hmmm, let me think. I think this ...	The tickets are $50.00 each and they need 2 tickets so that's 50 * 2 = $100.00. There is a 15% processing fee for the tickets so that's 100 * .15 = $15.00. The tickets are $100.00 and the processing fee is $15.00 for a total of 100 + 15 = $115.00. There is a $5.00 per person entrance fee and there are 2 people so that'...
My question is: John pays for half the cost of raising a child. It cost $10,000 a year for the first 8 years and then twice that much per year until the child is 18. University tuition then costs $250,000. How much did it cost? Your thoughts:	The first 8 years cost 8 * 10,000 = $80,000. The next 18 - 8 = 10 years. They cost 10000 * 2 = $20,000 per year. So they cost 20,000 * 10 = $200,000. So the cost was 200,000 + 80,000 = $280,000. Adding in the cost of tuition brings the cost to 250,000 + 280,000 = $530,000. Since John pays for half the cost of raising t...
Lizzy: Dean ordered 2 large pizzas that were each cut into 12 slices. His friends Frank and Sammy came over to enjoy some pizza and watch a movie. Dean was hungry and ate half of the Hawaiian pizza. Frank only ate 3 slices of Hawaiian pizza and Sammy ate a third of the cheese pizza. How many total slices were left over...	2 pizzas were ordered and had 12 slices each for a total of 2 * 12 = 24 slices. Dean ate 1 / 2 of a 12 sliced pizza so 12 / 2 = 6 slices were left over. Sammy ate 1 / 3 of a 12 sliced pizza so 12 / 3 = 4 slices were left over. Dean ate 6 slices, Sammy ate 4 and Frank had 3 so 6 + 4 + 3 = 13. They started with 24 slices...
Apple sold 100 iPhones at their New York store today for an average cost of $1000. They also sold 20 iPads for an average cost of $900 and 80 Apple TVs for an average cost of $200. What was the average cost across all products sold today? Let's be accurate as possible.	The sales for iPhones were 100 iPhones * $1000 per iPhone on average = $100,000. The sales for iPads today were 20 iPads * $900 per iPad = $18,000. The sales for Apple TV’s today were 80 * $200 = $16,000. The total sales for Apple at their New York store today was $100,000 + $18,000 + $16,000 = $134,000. The total numb...
Basil gets 1/2 of a dog cookie in the morning and before bed. She gets 2 whole cookies during the day. Basil’s cookies are packaged with 45 cookies per box. How many boxes will she need to last her for 30 days? Let's answer step by step:	Basil gets 1 / 2 in the morning and 1 / 2 at bedtime so she gets 1 / 2 + 1 / 2 = 1 whole cookie. Basil also gets 2 whole cookies during the day so all total she gets 2 + 1 = 3 whole cookies. She needs cookies for 30 days and eats 3 a day so she needs 30 * 3 = 90 cookies. Her cookies come 45 per box and she needs 90 coo...
Give a quick stream of consciousness before answering the following question. A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 200. How much did he have with him in the beginning? Options: (A) s 200 (B) s 500 (C) s 300 (...	Suppose the amount in the beginning was Rs ’x’ Money spent on clothes = Rs 1x/3 Balance = Rs 2x/3 Money spent on food = 1/5 of 2x/3 = Rs 2x/15 Balance = 2x/3 - 2x/15 = Rs 8x/15 Money spent on travel = 1/4 of 8x/15 = Rs 2x/15 = 8x/15 - 2x/15 = 6x/15 = Rs2x/5 Therefore 2x/5 = 200 = 500 The answer: (B).
Andy is mixing blue, green and white paint in a 1 : 2 : 5 ratio. If he uses 6 gallons of green paint, how many gallons of paint does he use total? Let's think first. Chain of thought:	First find the number of gallons of blue paint by multiplying the gallons of green paint by the ratio between the blue and green paint: 1 blue gallon / 2 green gallons * 6 gallons = 3 gallons. Then find the number of gallons of white paint by multiplying the gallons of green paint by the ratio between the white and gre...
Lizzy: Martha needs 4 cups of berries and 2 cups of heavy cream to make 1 quart of ice cream. She wants to make 1 quart of strawberry ice cream and 1 quart of raspberry ice cream. At the farmers market, the 2 cup packages of strawberries are $3.00 each and the 2 cup package of raspberries are $5.00 each. The heavy crea...	She needs 4 cups of strawberries per quart of ice cream and the strawberries are sold in 2 cup packages. So 4 / 2 = 2 packages of strawberries. The strawberries cost $3.00 per package and she needs 2 so 3 * 2 = $6.00. She needs 4 cups of raspberries per quart of ice cream and the raspberries are sold in 2 cup packages....
Answer the following Q with stream of consciousness. Passage: The femur (/ ⁇ fi ⁇ m ⁇ r /, pl. femurs or femora / ⁇ f ⁇ m ⁇ r ⁇ /) or thigh bone, is the most proximal (closest to the hip joint) bone of the leg in tetrapod vertebrates capable of walking or jumping, such as most land mammals, birds, many reptiles incl...	This is the relevant information: The femur (/ ⁇ fi ⁇ m ⁇ r /, pl. femurs or femora / ⁇ f ⁇ m ⁇ r ⁇ /) or thigh bone, is the most proximal (closest to the hip joint) bone of the leg in tetrapod vertebrates capable of walking or jumping, such as most land mammals, birds, many reptiles including lizards, and amphibian...
Tina makes $18.00 an hour. If she works more than 8 hours per shift, she is eligible for overtime, which is paid by your hourly wage + 1/2 your hourly wage. If she works 10 hours every day for 5 days, how much money does she make? Let's answer step by step:	She works 8 hours a day for $18 per hour so she makes 8 * 18 = $144.00 per 8 - hour shift. She works 10 hours a day and anything over 8 hours is eligible for overtime, so she gets 10 - 8 = 2 hours of overtime. Overtime is calculated as time and a half so and she makes $18 / hour so her overtime pay is 18 * .5 = $9.00. ...
Q: Context: "Medley: Aquarius / Let the Sunshine In (The Flesh Failures)" (commonly called "Aquarius / Let the Sunshine In", "The Age of Aquarius" or "Let the Sunshine In") is a medley of two songs written for the 1967 musical Hair by James Rado and Gerome Ragni (lyrics), and Galt MacDermot (music), released as a singl...	The relevant sentence in the passage is: "Medley: Aquarius / Let the Sunshine In (The Flesh Failures)" (commonly called "Aquarius / Let the Sunshine In", "The Age of Aquarius" or "Let the Sunshine In") is a medley of two songs written for the 1967 musical Hair by James Rado and Gerome Ragni (lyrics), and Galt MacDermot...
Lilith originally had five dozen water bottles that she needed to sell at $2 each to get exactly enough money to buy her friend a birthday gift. However, at the store, Lilith realized she could not sell at $2 because the regular price was $1.85 per water bottle in her town, and she had to reduce her price to $1.85 as w...	Lilith had 5 dozen water bottles, and since a dozen has 12 water bottles, the total number of water bottles she had was 12 bottles / dozen * 5 dozen = 60 bottles. To buy her friend the birthday gift, Lilith originally had to sell her water bottles for a total of 60 bottles * $2 / bottle = $120. When she reduced the pri...
Lizzy: Christian and Sue wanted to get a $50.00 bottle of perfume for their mom for her birthday. Christian had $5.00 saved up and Sue had $7.00. Christian then mowed 4 of his neighbors' yards, charging $5.00 each, while Sue walked 6 dogs for her neighbors, charging $2.00 per dog. How much more money will Christian and...	Christian just mowed 4 yards at $5.00 each so he made 4 * 5 = $20.00. Sue just walked 6 dogs at $2.00 each so she made 6 * 2 = $12.00. Christian had $5.00 saved and just made $20.00 while Sue had $7.00 saved and just made $12.00 so together they had 5 + 20 + 7 + 12 = $44. The perfume cost $50.00 and they had $44.00 so ...
Give the step-by-step reasoning process and then the final answer. There are 32 tables in a hall. Half the tables have 2 chairs each, 5 have 3 chairs each and the rest have 4 chairs each. How many chairs in total are in the hall?	Half of 32 tables is 32 * (1 / 2) = 16 tables. 16 tables have 2 chairs each for a total of 16 * 2 = 32 chairs. 5 tables have 3 chairs each for a total of 5 * 3 = 15 chairs. There are 32 - (16 + 5) = 11 tables left. 11 tables have 4 chairs each for a total of 11 * 4 = 44 chairs. The total number of chairs is 32 + 15 + 4...
If x ⁇ 0, y>0, and \|x\| ⁇ \|y\|, which of the following must be true? Options: (A) x > y (B) y ⁇ 2 > x ⁇ 2 (C) x ⁇ 3 > y ⁇ 2 (D) –x ⁇ y (E) x ⁇ –y Now, let's think a bit. Some random thoughts:	Correct Answer: (E) Let’s go through each answer choice: (A) can never be true, since no negative is greater than a positive. (B) doesn’t have to be true – consider what would happen if x = -2 and y = 1. (C) can never be true, as x ⁇ 3 must be negative, and y ⁇ 2 must be positive. (D) can never be true, since if x ⁇ ...
Cappuccinos cost $2, iced teas cost $3, cafe lattes cost $1.5 and espressos cost $1 each. Sandy orders some drinks for herself and some friends. She orders three cappuccinos, two iced teas, two cafe lattes, and two espressos. How much change does she receive back for a twenty-dollar bill? Let's think first. Chain of th...	Find the total cost of the cappuccinos by multiplying the price by the quantity: 3 cappuccinos x $2 / cappuccino = $6. Then do the same for the iced teas: 2 iced teas x $3 / tea = $6. Then do the same for the cafe lattes: 2 lattes x $1.5 / latte = $3. Then do the same for the espressos: 2 espressos x $1 = $2. In total ...
Brad’s zip code consists of five numbers that add up to 10. The first and second numbers are the same. The third number is zero. The fourth number is double the first number. The fourth and fifth numbers add up to 8. What is Brad’s zip code? Give me reasons, before answering the question	The five numbers add up to 10, so the first three numbers add up to 10 - 8 = 2. The third number is 0, so the first two numbers add up to 2 - 0 = 2. The first and second numbers are equal, so they are both 2 / 2 = 1. The fourth number is double the first number, so it is 2 * 1 = 2. The fifth number is 8 - 2 = 6. Thus, ...
Itzayana is 4 inches taller than Zora, who is 8 inches shorter than Brixton. If Zara is 64 inches tall and has the same height as Brixton, calculate the average height of the four people. Let's answer step by step:	Since Brixton has the same height as Zara which is 64 inches, Zora, who is 8 inches shorter than Brixton, is 64 - 8 = 56 inches tall. Zara and Brixton's height is 64 + 64 = 128 inches. If you add Zora's height, the three have a total height of 128 + 56 = 184. Itzayana is 4 inches taller than Zoran which means she is 56...
John has 2 hives of bees. One of the hives has 1000 bees and produces 500 liters of honey. The second has 20% fewer bees but each bee produces 40% more honey. How much honey does he produce? Think carefully first, then make a decision:	The second hive has 20 / 100 * 1000 = 200 fewer bees. This translates to 1000 - 200 = 800 bees. Each bee in the first hive produces 1000 / 500 = 2 liters. The second hive has bees each producing 1.4 * 2 = 2.8 liters. The total amount of honey produces by the bees in the second hive is 2.8 * 700 = 1960. The total honey ...
Lard decides to share a pizza with his friend Jelly. He takes a whole, uncut pepperoni pizza and cuts it in half. He then cuts these halves in half and gives one of the slices to Jelly. Assuming the pizza started with 40 evenly spread slices of pepperoni, how many slices of it are on the slice Lard gives Jelly if 1 of ...	First, we need to determine how many slices the pizza was cut into. To do this, we start by performing 1 * 2 = 2 slices after the pizza was cut in half once. Each of these slices was cut in half again, yielding 2 * 2 = 4 slices in total. Next, we divide the total amount of pepperoni slices by the number of pizza slices...
A plant supplier was able to sell 20 pieces of orchids for $50 each and 15 pieces potted Chinese money plant for $25. The money he earned was then used to pay his two workers $40 each and to buy new pots worth $150. How much money was left from the plant supplier's earnings? Think carefully first, then make a decision:	The plant supplier earned $50 x 20 = $1000 for the orchids. He earned $25 x 15 = $375 for the potted Chinese money plants. So, his total earnings was $1000 + $375 = $1375. Then he paid $40 x 2 = $80 to his workers. He used a total of $80 + $150 = $230 for the worker's pay and new pots. Hence, he was left with $1375 - $...
In ten years, I'll be twice my brother's age. The sum of our ages will then be 45 years old. How old am I now? Think carefully first, then make a decision:	Let X be my age now. In ten years, I'll be X + 10 years old. In ten years, my brother will be (X + 10) * 1 / 2 years old. In ten years, (X + 10) + (X + 10) * 1 / 2 = 45. So (X + 10) * 3 / 2 = 45. X + 10 = 45 * 2 / 3 = 30. X = 30 - 10 = 20 years old. So, the answer is 20.