Answer this question:Sam went for a run in the morning. In the afternoon, he went grocery shopping and walked twice the distance through the store as he had run that morning. That evening, he went on a bike ride with his family and biked for 12 miles. In all, he went 18 miles that day. How many miles was Sam's morning run?
Let X be the distance Sam ran. His walk through the store was twice the distance of his run, so his walk was 2X. He biked for 12 miles and went 18 miles in all, so he walked and ran 18 - 12 = 6 miles. Thus, his walk and run together were X + 2X = 3X = 6 miles. Thus, he ran X = 6 / 3 = 2 miles.
The answer is 2.

Answer this question:There are several cookies in the jar. Taking 1 cookie away would leave half as many in the jar as if 5 were added. How many cookies are in the jar?
Let C be the number of cookies. There would be C - 1 cookies. There would be (C + 5) / 2 cookies. C - 1 = (C + 5) / 2. 2(C - 1) = C + 5. 2C - 2 = C + 5. C = 7.
The answer is 7.

Answer this question:Aaron is gathering can lids to take to the recycling center. He uses 3 equal-sized boxes of canned tomatoes and adds the lids he gets to the 14 can lids he already has. He is now taking 53 can lids to the recycling center. How many cans lids did he get from each box?
Calculating the difference between the can lids Aaron has now and the amount that he had initially shows there were 53 14 = 39 can lids in the boxes of canned tomatoes. As the boxes are the same size, splitting these can lids equally shows that there were 39 / 3 = 13 can lids in each box.
The answer is 13.

Answer this question:Ali, Peter, and Joey were fishing. The fish Ali caught weighed, in sum, twice as much as the fish that Peter caught. Joey caught 1 kg more fish than Peter. Together the three of them caught 25 kg of fish. How many kilograms did Ali catch?
Let x be the weight of the fish that Peter caught. Then Ali and Joey caught 2 * x and x + 1 kg of fish, respectively. So, x + 2 * x + x + 1 = 25. So, 4 * x = 25 - 1 = 24. So, x = 6. Therefore, Ali caught 2 * x = 2 * 6 = 12 kg of fish.
The answer is 12.