The bags of sugar which she bought contain 2 * 6 = 12 cups. In total, she has 12 cups + 3 cups = 15 cups of sugar to use. She needs 1 cup + 2 cups = 3 cups of sugar to make the batter and frosting for a dozen cupcakes. Lillian has enough sugar to bake and ice 15 / 3 = 5 dozen cupcakes.
The answer: 5
Reverse engineering the question: Lillian is making chocolate cupcakes to sell at a fundraiser. She only has 3 cups of sugar at home. She goes to the store and buys 2 bags of sugar. Each bag of sugar contains 6 cups. The batter uses 1 cup of sugar per 12 cupcakes. She needs 2 cups of sugar to make enough frosting for a dozen cupcakes. How many dozen cupcakes can she bake and ice with the sugar she has?
Reasoning and answer: Helen won twice as many games as Betsy's 5 so Helen won 2 * 5 = 10 games. Susan won three times as many games as Betsy's 5 so Susan won 3 * 5 = 15 games. When you combine their wins, together they won 5 + 10 + 15 = 30 games total.
The answer: 30
What was the question?
Question: Betsy won 5 games of Monopoly. Helen won twice as many as Betsy and Susan won three times as many as Betsy. Between them, how many games have they won?
From selling his shirts, Kekai makes 5 * $1 = $5. From selling his pants, Kekai makes 5 * $3 = $15. The total amount of money Kekai earns is $5 + $15 = $20. Since Kekai gives half of the money to his parents, he has $20 / 2 = $10 left.
The answer: 10
Reverse engineering the question: Kekai's family is having a garage sale. Kekai sells 5 shirts and 5 pairs of pants. Each shirt sells for $1, and each pair of pants sells for $3. If Kekai gives his parents half of the money he earns from selling his clothes, how much money does Kekai have left?
Reasoning and answer: 10% + 50% = 60% of the chips in the jar are not green. So, 100% - 60% = 40% of the chips are green. There are 40% / 10% = 4 sets of 10% to make 40%. Hence, there are 3 chips x 4 sets = 12 green chips.
The answer: 12
What was the question?
Question: Three blue chips are in a jar which is 10% of the entire chips. If 50% of the chips are white and the rest are green, how many green chips are there?
Julie's daily earnings are $5 x 8 = $40. Her weekly earnings are $40 x 6 = $240. Her monthly earnings are $240 x 4 = $960. Since she was not able to work for a day, her salary will be $960 - $40 = $920.
The answer: 920
Reverse engineering the question: Julie works at a restaurant that pays her an hourly rate of $5. She works 8 hours a day and 6 days a week. How much is her monthly salary if she was not able to go to work for a day?
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?