Apiece of string is 112 inches long does a bill wants to cut into two pieces so that one piece is three times as long as the other how long is each piece

28inches & 84inches

First, lets write an equation that fits the data given. The string is 112 inches long. When the two pieces are cut, the first piece will be three times as long as the second piece. If we use the variable, x, to represent the second piece, we can create the following equation...

112=3x+x

Now lets solve for x.

112=4x
divide both sides by 4
28 inches=x

Now we know that the second piece is 28inches long. Since the first piece is three times as long, simply multiply 28*3 and we'll know the length of the first piece.

28*3=84 inches

To check our work, let's add the first piece by the second piece. If we get 112, then our math is correct.

28+84=112