Answer:
Represent the longer piece of the rope as (18 + x) and the shorter piece as x. The rope is 100 feet long, so:
(18 + x) + x = 100 Set up equation
18 + x + x = 100 Arrange like terms
18 + 2x = 100 Combine like terms
2x = 82 Subtract 18 from both sides
x = 41 Divide both sides by 2
Longer rope length: 12+ 31 =43 feet
Shorter rope length: 57 feet
Check: 59 + 41 = 100 feet
Step-by-step explanation:
