Reasoning and answer: Let B be the cost of the blue socks. 4 * 3 + 6 * Y = 42. 12 + 6 * Y = 42. 6 * Y = 30. Y = 5.
The answer: 5
What was the question?
Question: Luis needed to buy some socks. He bought 4 pairs of red socks and 6 pairs of blue ones. In total, he spent $42. If the red socks cost $3 each, how much did he pay for each blue pair?


First find how many ounces of fruit Bill will need total: 12 ounces / batch * 4 batches = 48 ounces. Then find how many cartons of blueberries Bill would need: 48 ounces / 6 ounces / carton = 8 cartons. Then multiply that number by the cost per carton to find the total cost of the blueberries: 8 cartons * $5 / carton = $40. Then find how many cartons of raspberries Bill would need: 48 ounces / 8 ounces / carton = 6 cartons. Then multiply that number by the cost per carton to find the total cost of the raspberries: 6 cartons * $3 / carton = $18. Then subtract the cost of the raspberries from the cost of the blueberries to find the difference: $40 - $18 = $22.
The answer: 22
Reverse engineering the question: Bill is trying to decide whether to make blueberry muffins or raspberry muffins. Blueberries cost $5.00 per 6 ounce carton and raspberries cost $3.00 per 8 ounce carton. If Bill is going to make 4 batches of muffins, and each batch takes 12 ounces of fruit, how much money would he save by using raspberries instead of blueberries?


Reasoning and answer: The lawn chair was blown twice as far as the car, or 2 * 200 = 400 feet. The birdhouse had flown 3 times farther than the lawn chair had been blown, or 3 * 400 = 1200 feet.
The answer: 1200
What was the question?
Question: The tornado picked up the Smith's car and transported it 200 feet in the air before dropping it into the neighbors' pool. Also in the pool was a lawn chair that had been blown twice as far as the car had been transported. And the pool also contained a birdhouse that had flown through the air three times farther than the lawn chair had been blown. How far, in feet, far had the birdhouse flown?


Susie earned $10 x 3 = $30 per day. Last week, she earned a total of $30 x 7 = $210. She spent $210 x 3 / 10 = $63 on make - up. While she spent $210 x 2 / 5 = $84 on her skincare products. Thus, she spent a total of $63 + $84 = $147 from her earnings. Therefore, Susie is left with $210 - $147 = $63 from her earnings last week.
The answer: 63
Reverse engineering the question: Susie babysits every day for 3 hours a day at the rate of $10 per hour. She spent 3/10 of the money she earned from last week to buy a make-up set. She then spent 2/5 of her money on her skincare products. How much is left from her earnings last week, in dollars?


Reasoning and answer: 8 + 8 = 16 students are enrolled in the German class. 8 * .25 = 2 dropped out from the new recruits. 2 more left, so the class had 16 - 2 - 2 = 12 students left. There were 12 * 5 + 12 = 72 total students in the class after the rally. Two people had to drop the class, so there were 72 - 2 = 70 left. 70 + 6 = 76 were enrolled after the final rally. 76 / 2 = 38 are left after half the class dropped. 38 / 2 = 19 are left after half the class graduated.
The answer: 19
What was the question?
Question: A local college is offering German lessons and currently has 8 students enrolled. Through advertising, 8 more became interested but a fourth of these dropped out within a day. 2 more got frustrated and left. The class then rallied to show how simple the course actually is and increased enrollment by 5 times the amount of students already enrolled in the class, but 2 had to drop it because of scheduling conflicts. After one last rally, 6 more people enrolled. As the days passed, half of the class eventually dropped, and half of the remaining students graduated. How many are still enrolled?


Reasoning and answer: Robin ate twice as many buttercream cupcakes as chocolate sauce cupcakes, or 2 * 4 = 8. So in total she ate 4 + 8 = 12 cupcakes.
The answer: 12
What was the question?
Question:
Robin likes to bake cupcakes for friends and to make her puppy North happy. Once Robin ate four cupcakes with chocolate sauce and twice as many cupcakes with buttercream frosting on her own. How many cupcakes did Robin eat?