First find how long Carly runs the second week: 2 miles * 2 + 3 = 7 miles. Then find how long she runs in the third week: 9 / 7 * 7 miles = 9 miles. Then subtract the 5 miles reduction from when she was injured: 9 miles - 5 miles = 4 miles.
The answer: 4
Reverse engineering the question: Carly is trying to get in shape to try out for the soccer team. She starts by running 2 miles a week. The second week, she runs twice as long plus 3 extra miles per week. The third week she runs 9/7 as much as she ran the second week. The week after that, she sprains her ankle and has to reduce her running time by 5 miles per week. How many miles did she run the week she was injured?


Reasoning and answer: First find how much milk Bill turned into sour cream and butter: 16 gallons * 1 / 4 = 4 gallons. Then find how many gallons of butter he makes out of 4 gallons of milk: 4 gallons milk / 4 gallons milk / 1 gallon butter = 1 gallon butter. Then find how many gallons of sour cream he makes out of 4 gallons of milk: 4 gallons milk / 2 gallons milk / 1 gallon sour cream = 2 gallon sour cream. Then subtract the amount of milk turned into butter and sour cream to find the remaining amount of whole milk: 16 gallons - 4 gallons - 4 gallons = 8 gallons. Then multiply the number of gallons of milk by the price of milk to find the total cost of the milk: 8 gallons * $3 / gallon = $24. Then multiply the number of gallons of sour cream by the price of sour cream to find the total cost of the sour cream: 2 gallons * $6 / gallon = $12. Then add the cost of the butter, sour cream and milk to find the total amount of money Bill earns: $24 + $12 + $5 = $41.
The answer: 41
What was the question?
Question: Bill milked his cow and got 16 gallons of milk. He turned 1/4 into sour cream, 1/4 into butter, and kept the rest as whole milk. It takes 4 gallons of milk to make one gallon of butter and 2 gallons of milk to make 1 gallon of sour cream. If Bill sells butter for $5/gallon, sour cream for $6/gallon, and whole milk for $3/gallon, how much money does he make?


First let's find the number for each animal separately, 42 teeth per dog * 5 dogs = 210 teeth for dogs. Then cats total will be 30 teeth per cat * 10 cats = 300 teeth in total for cats. Finally, the number for pigs is 28 teeth per pig * 7 pigs = 196 teeth in total for pigs. So the total in all is 210 teeth + 300 teeth + 196 teeth = 706 teeth in total.
The answer: 706
Reverse engineering the question: Vann is a veterinarian. Today he is going to be doing dental cleanings only. Dogs have 42 teeth, cats have 30 teeth and pigs have 28 teeth. If he is to do 5 dogs, 10 cats and 7 pigs, how many total teeth will Vann clean today?


Reasoning and answer: Taxes:40000(.20) = 8000$. Healthcare:40000(.10) = 4000$. Dues:800$. Total:40000 - 8000 - 4000 - 800 = 27,200$.
The answer: 27200
What was the question?
Question: Steve makes 40000$ a year as a teacher. He loses 20 percent to taxes, 10 percent to healthcare, and 800$ to local union dues. How much money does Steve take home?


Camp has 3 * 40 boys = 120 girls. Camp Cedar has a total of 40 boys + 120 girls = 160 children. Camp needs 1 counselor per 8 children, so 160 children / 8 children = 20 counselors needed.
The answer: 20
Reverse engineering the question: Camp Cedar has 40 boys, it has 3 times as many girls. It needs 1 counselor for every 8 children. How many counselors does Camp Cedar need?


If Yola currently weighs 220 pounds, then Wanda, who weighs 30 pounds more than Yola, weighs 220 + 30 = 250 pounds. Wanda also weighs 80 pounds more than Yola did 2 years ago, meaning Yola weighed 250 - 80 = 170 pounds 2 years ago.
The answer: 170
Reverse engineering the question:
Wanda weighs 30 pounds more than Yola currently. Wanda also weighs 80 pounds more than Yola did 2 years ago. How much did Yola weigh 2 years ago if she currently weighs 220 pounds?