Reasoning and answer: Since a dozen has 12 items, a half dozen has 1 / 2 * 12 = 6 items. Since Jamal bought four half dozen colored crayons, he bought 4 * 6 = 24 colored crayons. If each crayon's cost was $2, Jamal paid $2 * 24 = $48 for all the crayons he bought.
The answer: 48
What was the question?
Question: Jamal bought 4 half dozen colored crayons at $2 per crayon. What was the total cost of the crayons that she bought?
Alison gave Anna 1 / 2 * 28 = 28 / 2 = 14 stamps. Adding Alison's stamps to Anna's collection means Anna has 14 + 37 = 51 stamps. Then Anna traded Jeff 2 stamps, so she had 51 - 2 = 49 stamps. Anna got 1 stamp back in the trade, so she had 49 + 1 = 50 stamps in the end.
The answer: 50
Reverse engineering the question: Anna, Alison, and Jeff collect stamps. Anna had 37 stamps in her collection, Alison had 28 stamps in her collection, and Jeff had 31 stamps in his collection. Alison gave Anna half of her collection in exchange for a novel, and then Anna traded Jeff two bluebird stamps for one mountain stamp. How many stamps did Anna have in the end?
Reasoning and answer: The number of ripe mangoes from the tree is 3 / 5 * 400 = 240. If Lindsay eats 60% of the ripe mangoes, she eats 60 / 100 * 240 = 144 mangoes. The total number of ripe mangoes remaining is 240 - 144 = 96.
The answer: 96
What was the question?
Question: 3/5 of the mangoes on a mango tree are ripe. If Lindsay eats 60% of the ripe mangoes, calculate the number of ripe mangoes remaining if there were 400 mangoes on the tree to start with.
He needs 10 * 6 = 60 feet. He loses 20 * .25 = 5 feet each time. So he gets 20 - 5 = 15 feet from each piece. That means he needs 60 / 15 = 4 pieces of rope.
The answer: 4
Reverse engineering the question: Tom needs to lower a rope down 6 stories. One story is 10 feet. The only rope being sold is 20 feet long but you lose 25% when lashing them together. How many pieces of rope will he need to buy?
Reasoning and answer: Bob runs .1 miles per minute because 6 / 60 = .1. Jim run at .15 miles per minute 9 / 60 = .15. We know that .1(Number of Minutes) + 1 = .15(Number of Minutes). Therefore 1 = .05(Number of minutes). Therefore (Number of minutes) = 20 because 1 / .05 = 20.
The answer: 20
What was the question?
Question: Bob runs 6 miles per hour. His friend Jim runs at 9 miles per hour. If Bob has a 1 mile head-start, how many minutes will it take before Jim catches him?
Reasoning and answer: Since the average of marks scored in four tests by Jake was 75, the total marks that he scored in the four tests are 4 * 75 = 300. If jake scored 80 marks in the first test and 10 more in the second test, he scored 80 + 10 = 90 marks in the second test. The combined marks for the first and the second test is 90 + 80 = 170. The total marks Jake scored in the third and fourth test is 300 - 170 = 130. Since Jake scored an equal number of marks in the third and fourth tests, he scored 130 / 2 = 65 marks in each of the third and fourth tests.
The answer: 65
What was the question?
Question:
The average of marks scored in four tests by Jake was 75. If jake scored 80 marks in the first test and 10 more in the second test, and an equal number of marks in the third and fourth test, calculate the marks he scored in the third test.