# A rope 40 feet long is cut into two pieces…

## Solution:

To solve this problem, we start by setting up two variables for the lengths of the long and short pieces of rope.

L = the length of the longer piece of rope

S = the length of the shorter piece of rope

We are given that the rope is 40 feet long. Translating this into an equation we have:

L + S = 40

Next we are given that one piece is 18 feet longer than the other. Translating this into an equation we have:

L = 18 + S

We can now substitute 18 + S from the second equation for L in the first equation. We have:

18 + S + S = 40

2S = 22

S = 11

The shorter piece of rope is 11 feet.

**Answer: B**