The trucks cost 60 bottle caps because 10 x 6 = 60. He has 40 bottle caps left because 100 - 60 = 40. He spends 30 bottle caps on cars because 40 x .75 = 30. He gets 6 cars with this because 30 / 5 = 6. He gets 16 vehicles in total because 10 + 6 = 16.
The answer: 16
Reverse engineering the question: Jude is trading his bottle cap collection to Arthur for some of Arthur's matchbox vehicles. Arthur charges Jude 5 bottle caps for a car and 6 bottle caps for a truck. Jude has 100 bottle caps. If he buys 10 trucks and spends 75% of his remaining bottle caps on cars, how many total matchbox vehicles does he buy?


Reasoning and answer: Four feet six inches is the same as 4.5 feet tall. If Frank is 0.5 feet taller than Pepe, then he is 4.5 + 0.5 = 5 feet tall. If Larry is one foot taller than Frank, then he is 5 + 1 = 6 feet tall. If Ben is one foot taller than Larry, then he is 6 + 1 = 7 feet tall. If Big Joe is one foot taller than Ben, then he is 7 + 1 = 8 feet tall.
The answer: 8
What was the question?
Question: Big Joe is the tallest player on the basketball team. He is one foot taller than Ben, who is one foot taller than Larry, who is one foot taller than Frank, who is half a foot taller than Pepe. If Pepe is 4 feet six inches tall, how tall is Big Joe, in feet?


At the meeting, 200 - 100 = 100 people decided to have a snack. 20 new people came in to snack and the area had 100 + 20 = 120 of them eating. 120 / 2 = 60 people got full and left. 10 more new people came to join in the snacking so 60 + 10 = 70 people were eating. After 30 people left, 70 - 30 = 40 people who were eating remained. In the end, only 40 / 2 = 20 kept eating.
The answer: 20
Reverse engineering the question: A large gathering occurred at the town hall with 200 people participating. 100 people decided to have a snack, and then 20 new outsiders joined in to have a snack. Half of these snack eaters got full and left. 10 new outsiders came to have snacks, too. 30 more snack eaters got their fill and left. Then half of the remaining snack eaters left later on. How many snack eaters are left?


Reasoning and answer: The cost of the food is $3 + $2 + $2 + $2 = $9. The original total cost, including tax is $9 + $1 = $10. Ben increases the total cost to $10 + $2 + $2 = $14. They should get $15 - $14 = $1 in change.
The answer: 1
What was the question?
Question: Dakota and Ben order eggs for $3, pancakes for $2, and 2 mugs of cocoa for $2 each. The tax is $1. Later, Ben then decides to order 1 more batch of pancakes and 1 more mug of cocoa as he is still hungry. How much change should they get from $15?


It takes 15 minutes to bake, 30 minutes for the white icing to harden and 30 minutes for the chocolate icing to harden so it takes 15 + 30 + 30 = 75 minutes. Every hour has 60 minutes and it takes her 2 hours so it takes 60 * 2 = 120 minutes to make the cookies. It takes 120 minutes to make the cookies from start to finish and she spends 75 minutes baking and hardening icing so it takes her 120 - 75 = 45 minutes to make the batter and cool the cookies.
The answer: 45
Reverse engineering the question: For every black & white cookie that Elsa makes, she has to make the batter, bake the cookies for 15 minutes and then allow to cool. She then has to dip the cookies in white icing and allow the icing to harden for 30 minutes. Then she has to re-dip them in chocolate icing and allowed to harden for an additional 30 minutes. If it takes her 2 hours to make the cookies from start to finish, how long does it take to make the dough and cool the cookies before she can start dipping them?


Jessica is 26 + 6 = 32 years old. James is 32 + 7 = 39 years old. After 5 years, James will become 39 + 5 = 44 years old.
The answer: 44
Reverse engineering the question:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
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Justin is 26 years old. When he was born his elder sister Jessica was 6 years old. James is their elder brother and is 7 years older than Jessica. How old will James be after 5 years?