She has 108 * 4 = 432 ears of corn to shuck. She gets 500 kernels of corn from half the ears and 500 + 100 = 600 kernels from the other half. Half the number of ears of corn is 432 / 2 = 216 ears. Thus, Hilary has 216 * 500 + 216 * 600 = 108000 + 129600 = 237600 kernels to shuck.
The answer: 237600
Reverse engineering the question: Hilary is shucking corn from ears that grew on her farm. She gets four ears of corn per stalk, and she has 108 stalks growing. Half the ears of corn have 500 kernels of corn and the other half have 100 more. How many kernels of corn does Hilary have to shuck?


Reasoning and answer: The first bed is 3 feet long by 3 feet wide so it's 3 * 3 = 9 sq ft. She's building 2 beds that are this size so that's 2 * 9 = 18 sq ft of growing space. The second bed is 4 feet long by 3 feet wide so it's 4 * 3 = 12 sq ft. She's building 2 beds that are this size so that's 2 * 12 = 24 sq ft of growing space. The smaller beds are 18 sq ft and the larger beds are 24 sq ft for a total of 18 + 24 = 42 sq ft of growing space.
The answer: 42
What was the question?
Question: Amy is building 2 3 ft long by 3 ft wide garden beds and 2 4ft long by 3 ft wide garden beds. What is the total sq ft of growing space that she will have?


When she put them in the sun to dry, 2 / 5 * 80 = 32 of the clay pots that Cheyenne made cracked and could not be sold. The number of pots that were good for sale is 80 - 32 = 48. If she sold each clay pot at $40, she earned $40 * 48 = $1920 from selling the good pots.
The answer: 1920
Reverse engineering the question: Cheyenne is a craftswoman making pots for sale. On a particular week, she made 80 clay pots. However, when she put them in the sun to dry, 2/5 of the pots cracked and could not be sold. How much money did Cheyenne make from selling the remaining items at $40 per clay pot?


Reasoning and answer: First find the total number of monthly commutes: 5 days / week * 4 weeks / month = 20 days / month. Then multiply the distance of the commute one way by the two ways: 21 miles * 2 = 42 miles. Then multiply the number of commutes by the number of miles per commute: 42 miles / commute * 20 commutes = 840 miles. Then divide the number of miles by the car's gas mileage: 840 miles / 30 miles / gallon = 28 gallons. Then multiply that number by the cost of each gallon to find the total cost: 28 gallons * $2.50 / gallon = $70. Then divide the total cost by the number of friends to find the cost per person: $70 / 5 people = $14 / person.
The answer: 14
What was the question?
Question: Carson runs a carpool for five of his friends. The five of them cover all the gas expenses to compensate Carson for his time. Their total commute is 21 miles one way, gas costs $2.50/gallon, Carson's car gets 30 miles/gallon, and they commute to work 5 days a week, 4 weeks a month. How much does each person pay toward gas monthly?


The distance to the destination is 4 hours * 50 miles / hour = 200 miles. Traveling at 100 miles per hour, it will take 200 miles / (100 miles / hour) = 2 hours.
The answer: 2
Reverse engineering the question: A train takes 4 hours to reach a destination at a speed of 50 miles per hour. How long would it take if it traveled at 100 miles per hour instead?


In six years, Ellen will be 10 + 6 = 16 years old. If Martha is twice Ellen's age in six years, she is 2 * 16 = 32 years.
The answer: 32
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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Martha met Ellen in the grocery store alone and asked her age. Martha realized she was twice as old as Ellen will be in six years. If Ellen is 10 years old now, calculate Martha's age now.