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