Her recipe calls for 1 / 4 cup of juice but she wants to double that so she needs 1 / 4 + 1 / 4 = 1 / 2 cup of lime juice. 16 tablespoons are in 1 cup and she only needs 1 / 2 cup so she needs 16 * .5 = 8 tablespoons of juice. 1 key lime yields 1 tablespoon of juice and she needs 8 tablespoons so she needs 1 * 8 = 8 key limes.
The answer: 8
Reverse engineering the question: Audrey's key lime pie calls for 1/4 cup of key lime juice but she likes to double this amount to make it extra tart. Each key lime yields 1 tablespoon of juice. There are 16 tablespoons in 1 cup. How many key limes does Audrey need?


Reasoning and answer: 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
What was the question?
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?


Jeremy listened to 9 + 5 = 14 songs today. Thus, he listened to 9 + 14 = 23 songs in two days.
The answer: 23
Reverse engineering the question: Jeremy listened to five fewer songs yesterday than today. Yesterday, he listened to nine songs. How many songs did Jeremy listen to in two days?


Reasoning and answer: Half of the books on the bottom section of the cart are mystery books, which means they are the same as the number of Western novels and biographies put together. So there are 5 + 6 = 11 mystery novels. Add them all together, and there are 12 history + 8 romance + 4 poetry + 11 mystery + 5 Western + 6 biographies = 46 books total.
The answer: 46
What was the question?
Question: Nancy, the librarian, is shelving books from the cart. She shelved 12 history books, 8 romance books, and 4 poetry books from the top section of the cart. Half the books on the bottom section of the cart were mystery books, which she quickly put back into place. Then, she shelved the remaining books from the bottom of the cart, including 5 Western novels and 6 biographies. How many books did she have on the book cart when she started?


After spending money on a shirt, Lily had $55 - $7 = $48 left. She spent $7 x 3 = $21 on another store. Therefore, she only has $48 - $21 = $27 left on her account.
The answer: 27
Reverse engineering the question: Lily had $55 in her account. She spent $7 on a shirt. She then went to another shop and spent thrice as much as she spent on a shirt. How much money is left in Lily's account?


Noah earned $60 / large painting x 8 large paintings = $480 for the large paintings. He also earned $30 / small painting x 4 small paintings = $120 for the small paintings. His total sales last month were $480 + $120 = $600. So, his sales this month are $600 x 2 = $1200.
The answer: 1200
Reverse engineering the question:
Noah is a painter. He paints pictures and sells them at the park. He charges $60 for a large painting and $30 for a small painting. Last month he sold eight large paintings and four small paintings. If he sold twice as much this month, how much is his sales for this month?