CPM Homework Help : INT3 Problem 4-25

Write and solve an equation or a system of equations to help you solve the following problem.

A cable $84$ meters long is cut into two pieces so that one piece is $18$ meters longer than the other. What is the length of each piece of cable?

Step 1:

Let $L=$ length of the longer piece, $S=$ length of the shorter piece.

Step 2:

Write an equation for, "A cable $84$ meters long is cut into two pieces."

Step 3:

Write an equation for, "One piece is $18$ meters longer than the other."

Step 4:

Solve the system of equations.

Answer:

The shorter piece of cable is $33$ meters and the longer piece is $51$ meters.