He writes each friend 3 * 2 = 6 pages a week. So he writes 6 * 2 = 12 pages every week. That means he writes 12 * 52 = 624 pages a year.
The answer: 624
Reverse engineering the question: James writes a 3-page letter to 2 different friends twice a week. How many pages does he write a year?


Reasoning and answer: She has 50 x 2 = 100 silver stickers. And she also has 100 - 20 = 80 bronze stickers. So, Miss Walter has a total of 50 + 100 + 80 = 230 stickers. Therefore, her 5 students will have 230 / 5 = 46 stickers each.
The answer: 46
What was the question?
Question: Miss Walter has 50 gold stickers. She also has twice as many silver stickers as gold stickers, and 20 fewer bronze stickers than silver stickers. She wants to give the same number of stickers to each of her 5 students. How many stickers will each student receive?


Shells:80(.95) = 76. Opened Shells:76(.75) = 57.
The answer: 57
Reverse engineering the question: A bag of pistachios has 80 pistachios in it. 95 percent have shells, and 75 percent of those have shells that are opened. How many pistachios in the bag have shells and have an opened shell?


Reasoning and answer: First find the number of gallons of blue paint by multiplying the gallons of green paint by the ratio between the blue and green paint: 1 blue gallon / 2 green gallons * 6 gallons = 3 gallons. Then find the number of gallons of white paint by multiplying the gallons of green paint by the ratio between the white and green paint: 5 white gallons / 2 green gallons * 6 gallons = 15 gallons. Then add the number of gallons of each color to find the total number of gallons of paint: 6 gallons + 3 gallons + 15 gallons = 24 gallons.
The answer: 24
What was the question?
Question: Andy is mixing blue, green and white paint in a 1 : 2 : 5 ratio. If he uses 6 gallons of green paint, how many gallons of paint does he use total?


The jeans were on sale for 20% = 20 / 100 = 1 / 5 off, so the sale took 125 / 5 = $25 off. Thus, after the sale, the jeans cost $125 - $25 = $100. Todd’s coupon lowered the price to $100 - $10 = $90. The store credit card gave him 10% = 10 / 100 = 1 / 10 off, so the card took $90 / 10 = $9 off. Thus, he paid $90 - $9 = $81 for the jeans. Therefore, Todd saved $125 - $81 = $44 on the original price of the jeans.
The answer: 44
Reverse engineering the question: Todd bought a pair of jeans that cost $125 at full price. The jeans were on sale for 20% off. He then applied a coupon that took off $10. He paid with a store credit card that gave him another 10% off the remaining amount. How many dollars did he save on the original price of the jeans?


There is an equal number of clownfish and blowfish, which means there are 100 fish / 2 = 50 blowfish. Since some stay in their tanks, there are 50 blowfish – 26 blowfish = 24 blowfish in the display tank. There were the same amount of clownfish until 24 clownfish / 3 = 8 clownfish swam back to their own tank. This leaves 24 clownfish – 8 clownfish = 16 clownfish in the display tank.
The answer: 16
Reverse engineering the question:
An aquarium holds an equal number of clownfish and blowfish. 26 of the blowfish stay in their own tank, and the remaining blowfish swim into a display tank. An equal number of clownfish join the blowfish in the display tank, but then a third of these clownfish swim back into their own tank. If the aquarium holds a combined total of 100 fish, how many clownfish are now in the display tank?