Reasoning and answer: She donates 30% of her 80 pairs of shoes so that's .30 * 80 = 24 pair of shoes she donates. She had 80 shoes in her collection and donates 24 so that leaves 80 - 24 = 56 pairs of shoes. She now has 56 pairs of shoes and buys 6 more pairs so her collection is now 56 + 6 = 62 pairs of shoes.
The answer: 62
What was the question?
Question: Page collects fancy shoes and has 80 pairs in her closet. She decides to donate 30% of her collection that she no longer wears. After dropping off her donation, she treats herself and buys 6 more pairs to add to her collection. How many shoes does she have now?
All together, Brenda and her friends make a group of 1 + 9 = 10 people. If they each want to eat 2 pizza slices, there should be 10 * 2 = 20 slices. Since a pizza has 4 slices, they will have to order 20 / 4 = 5 pizzas.
The answer: 5
Reverse engineering the question: Brenda and nine of her friends want to order a pizza. They decide that each person will eat 2 slices. If each pizza has 4 slices, how many pizzas should they order?
Reasoning and answer: First = 14 oz. Second = (1 / 2) * 14 = 7 oz. Third = 7 + 5 = 12 oz. 14 + 7 + 12 = 33 oz. There are 33 ounces of cereal in those 3 boxes.
The answer: 33
What was the question?
Question: There are 3 boxes of cereal. One box holds 14 ounces of cereal. Another box holds half the amount of the first box and 5 ounces less than the third box. How much cereal is there in all 3 cereal boxes?
The profit Ronald wants is $3000 / 3 = $1000. The profit per phone sold will be $1000 / 200 phones = $5 / phone. The cost of each phone is $3000 / 200 phones = $15 / phone. The selling price including the profit will be $15 / phone + $5 / phone = $20.
The answer: 20
Reverse engineering the question: Ronald wants to make profits by re-selling some phones he bought a week ago. He bought 200 units for just $3000, and he wants to gain a third of the initial investment in profits when all units are sold. Including the profit margin, what will be the selling price for each phone?
Reasoning and answer: Ed found 7 shells + 2 shells + 4 shells = 13 shells at the beach. Jacob found 13 shells + 2 shells = 15 shells at the beach. In total Ed and Jacob have 2 shells + 13 shells + 15 shells = 30 shells.
The answer: 30
What was the question?
Question: Ed and Jacob already had 2 shells in their shell collection. Then they went to the beach to collect even more. Ed found 7 limpet shells, 2 oyster shells, and 4 conch shells. Jacob found 2 more shells than Ed did. How many shells do the pair have altogether?
Reasoning and answer: Let S be the length of the short side of the fence. Thus, the length of a long side of the fence is 3S. There are 2 of each side, so the whole fence is 2S + 2 * 3S = 2S + 6S = 8S long. The whole fence is 8S = 640 feet long. Thus, the short side of the fence that needs to be replaced is S = 640 / 8 = 80 feet long.
The answer: 80
What was the question?
Question:
A rectangular plot of private property is fenced in by a chain-link fence. The long sides of the plot are three times the length of the short sides. One short side of the fence is rusted from being hit by a sprinkler and needs to be replaced. If all the sides of the fence together are 640 feet long, how many feet of fence need to be replaced?