Every other tree is half the trees, so there will be 18 / 2 = 9 fruit trees planted. The association is planting three kinds of fruit trees, so they will plant 9 / 3 = 3 of each kind of tree.
The answer: 3
Reverse engineering the question: A neighborhood association decided to plant a tree on every street. There are eighteen streets in the neighborhood. The association wanted every other tree to be a fruit tree, and they agreed to plant equal numbers of plum, pear, and apricot trees. How many of each kind of tree will they plant?


Reasoning and answer: First, the weight of 20 cans is 20 cans * 2 oz per can = 40 oz. Thus, Jenny has the capacity to carry 100 oz - 40 oz = 60 oz of bottles. Jenny can carry 60 oz / 6 oz per bottle = 10 bottles. Jenny earns 10 bottles * 10 cents per bottle = 100 cents for the bottles. Jenny earns 20 cans * 3 cents per can = 60 cents for the cans. In total, she earns 100 cents + 60 cents = 160 cents.
The answer: 160
What was the question?
Question: Jenny collects cans and bottles to take down to the recycling center. Each bottle weighs 6 ounces and each can weighs 2 ounces. Jenny can carry a total of 100 ounces. She collects 20 cans and as many bottles as she can carry. If she gets paid 10 cents per bottle and 3 cents per can, how much money does she make (in cents)?


Mary added a total of 7 stickers / page * 6 pages = 42 stickers to the 6 other pages. In total, Mary added 3 large stickers + 42 stickers = 45 stickers to her journal. Since she started with 89 stickers, she now has 89 - 45 = 44 stickers left.
The answer: 44
Reverse engineering the question: Mary had 89 stickers. She used 3 large stickers on the front page of her journal and 7 stickers each to 6 other pages of her journal. How many stickers does Mary have remaining?


Reasoning and answer: There are 3 x 10 = 30 photos in total that can be placed in the first 10 pages. There are 4 x 10 = 40 photos in total that can be placed in the next 10 pages. A total of 10 + 10 = 20 pages of the album have been used. A total of 30 + 40 = 70 photos can be placed on those 20 pages. So there are still 100 - 70 = 30 photos left to be placed on the album. And there are 30 - 20 = 10 pages left in the album. Therefore, 30 / 10 = 3 photos can be placed on each of the pages.
The answer: 3
What was the question?
Question: Alyssa took 100 photos on vacation. She wants to put them in a photo album with 30 pages. She can place 3 photos each on the first 10 pages. Then she can place 4 photos each on the next 10 pages. If she wants to put an equal number of photos on each of the remaining pages of the album, how many photos can she place on each page?


The combined length of all the rope is 41 feet because 8 + 20 + (2 x 3) + 7 = 41. He loses 6 feet from the knots because 5 x 1.2 = 6. The final length is 35 feet because 41 - 6 = 35.
The answer: 35
Reverse engineering the question: Tony wants to build the longest rope he possibly can, so he collects all the rope in his home. He finds an 8-foot rope, a 20-foot rope, three 2 foot ropes, and a 7-foot rope. each knot between the ropes makes him lose 1.2 foot per knot. How long is his rope when he's done tying them all together?


Bucket B has 3 more fruits than C (which has 9 fruits) for a total of 9 + 3 = 12 fruits. Bucket A has 4 more fruits than B (which has 12 fruits) for a total of 12 + 4 = 16 fruits. All three buckets have a total of 9 + 12 + 16 = 37 fruits.
The answer: 37
Reverse engineering the question:
Three buckets are holding different fruits. Bucket A has 4 more pieces of fruit than bucket B while bucket B has 3 more pieces of fruit than bucket C. If bucket C has 9 pieces of fruit, how many pieces of fruit are in all 3 buckets?