A piece of string is 112 inches long. Cory wants to cut it into two pieces so that one piece is three times as long as the other piece. How long will each piece be?
Let's call the length of the shorter piece of string x.
According to the problem, the longer piece is three times as long, so its length is 3x.
The total length of the string is the sum of the lengths of the two pieces: x + 3x = 112 inches.
Combining like terms, we get 4x = 112.
Dividing both sides by 4, we find that x = 28.
Therefore, the shorter piece is 28 inches long and the longer piece is 3*28 = <<3*28=84>>84 inches long. Answer: \boxed{28, 84}.