He ate 14 apples the first two weeks because 14 x 1 = 14. He ate 14 apples in the next three weeks because 14 = 14. He ate 42 apples in the final two weeks because 14 x 3 = 42. He ate 70 apples in total. He averaged 10 apples a week because 70 / 7 = 10.
The answer: 10
Reverse engineering the question: Archibald eats 1 apple a day for two weeks. Over the next three weeks, he eats the same number of apples as the total of the first two weeks. Over the next two weeks, he eats 3 apples a day. Over these 7 weeks, how many apples does he average a week?


Reasoning and answer: Dan gets 5 * 12 = 60 golf balls. Gus gets 2 * 12 = 24 golf balls. In total they purchase 60 + 24 + 48 = 132 golf balls.
The answer: 132
What was the question?
Question: The batting cage sells golf balls by the dozen. They charge $30 for 3 dozen. Dan buys 5 dozen, Gus buys 2 dozen, and Chris buys 48 golf balls. How many golf balls do they purchase in total, assuming 12 golf balls are 1 dozen?


The length of the box is 3 x the height of 12 inches = 36 inches. The width of the box is 36 inches / 4 = 9 inches. The volume of the box is the height of 12 inches x the length of 36 inches x the width of 9 inches = 3,888 cubic inches.
The answer: 3888
Reverse engineering the question: Justin has a box that is 12 inches in height. The length of the box is 3 times its height and 4 times its width. What is the volume of the box?


Reasoning and answer: Grayson = 61 + 2 = 63 inches. Gracie = 63 - 7 = 56 inches. Gracie is 56 inches tall.
The answer: 56
What was the question?
Question: Gracie was 7 inches shorter than Grayson. Grayson was 2 inches taller than Griffin. Griffin is 61 inches tall. How many inches tall is Gracie?


So for 3 of the days, there are 1 + 1 = 2 people eating. So for those days they use 3 * 2 = 6 plates. On 7 - 3 = 4 days the parents join them. On those days there are 2 + 2 = 4 people eating. They use 4 * 2 = 8 plates. So they use 8 * 4 = 32 plates. That means they use a total of 32 + 6 = 38 plates.
The answer: 38
Reverse engineering the question: Matt needs to buy new plates for his home. He only wants to do dishes once a week. Three days a week it is only him and his son eating and they use 1 plate each. On the remainder of the days, his parents join them and everyone uses 2 plates that day. How many plates does he need to buy?


First find the total number of pieces of candy Anna gets: 14 pieces / house * 60 houses = 840 pieces. Then find the total number of pieces of candy Billy gets: 11 pieces / house * 75 houses = 825 pieces. Then subtract the number of pieces Billy gets from the number Anna gets to find the difference: 840 pieces - 825 pieces = 15 pieces.
The answer: 15
Reverse engineering the question:
Anna goes trick-or-treating in a subdivision where she gets 14 pieces of candy per house. Her brother Billy goes trick-or-tricking in a neighboring subdivision where he gets 11 pieces of candy per house. If the first subdivision has 60 houses and the second subdivision has 75 houses, how many more pieces of candy does Anna get?