Reasoning and answer: The difference in age between the two sisters is 24 - 20 = 4 years. When Rachel is twice Emily’s age, she is 4 x 2 = 8 years old.
The answer: 8
What was the question?
Question: Emily is 20 years old and her older sister, Rachel, is 24 years old. How old is Rachel when Emily is half her age?


Before the Wednesday discount, the cost of the jean is $14.50 + $10.00 = $24.50. Since the original price was reduced by 50%, the original cost for the jeans is $24.50 * 2 = $49.00.
The answer: 49
Reverse engineering the question: For the summer, the clothing store has a 50% discount for all items. On Wednesdays, there is an additional $10.00 off on all jeans after the summer discount is applied. Before the sales tax applies, the cost of a pair of jeans is $14.50. How much was the original cost for the jeans before all the discounts?


Reasoning and answer: The second student counted 12 / 3 = 4 more squirrels than the first student. The second student counted 12 + 4 = 16 squirrels. Together, the first and second student counted 12 + 16 = 28 squirrels combined.
The answer: 28
What was the question?
Question: One student on a field trip counted 12 squirrels. Another counted a third more squirrels than the first student. How many squirrels did both students count combined?


Let g be the number of green cars, r be the number of red cars, and p be the number of purple cars. We know that g + r + p = 315, r = p + 6, and g = 4r. Substitute the second equation into the third equation to get: g = 4r = 4(p + 6) = 4p + 24. Now substitute the equations that express g and r in terms of p in the equation for the total number of cars: 4p + 24 + p + 6 + p = 315. Now combine like terms to get 6p + 30 = 312. Now subtract 30 from both sides to get 6p = 282. Now divide both sides by 6 to get p = 47.
The answer: 47
Reverse engineering the question: Jason is counting the number of cars that drive by his window. He counted four times as many green cars as red cars, and 6 more red cars than purple cars. If he counted 312 cars total, how many of them were purple?


Reasoning and answer: First find the volume of the pool by multiplying the length by the width by the height: 10 ft * 8 ft * 6 ft = 480 cubic feet. Then divide the volume of the pool by the number of cubic feet one quart of chlorine can sterilize: 480 cubic feet / 120 cubic feet / quart = 4 quarts. Then multiply the number of quarts Gary needs to buy by the price per quart to find out how much money he spends: $3 / quart * 4 quarts = $12.
The answer: 12
What was the question?
Question: Gary is buying chlorine for his rectangular pool, which is 10 feet long, 8 feet wide, and 6 feet deep. Gary needs to buy one quart of chlorine for every 120 cubic feet of water in his pool. If chlorine costs $3 a quart, how much does Gary spend on chlorine?


Reasoning and answer: Steve weighs 110 - 8 = 102 pounds. Stan weighs 102 + 5 = 107 pounds. Their total weight is 102 + 107 + 110 = 319 pounds.
The answer: 319
What was the question?
Question:
Stan weighs 5 more pounds than Steve. Steve is eight pounds lighter than Jim. If Jim weighs 110 pounds and the three of them crowd onto a scale at the same time, what is their total weight?