Question

A 120 foot rope is cut into 3 peices . The first piece of rope is twice as long as the second piece of rope. The third peice of rope is three times as long as the second piece of rope Write an equation that represents the length of the entire piece of rope

Answer 1

length of rope is 20,40,60 foot

Answer 2

The answer to your question is 2s + s + 3s = 120

Explanation:

Data

total length = 120 ft

first piece = f

second piece = s

third piece = t

Process

1.- Write an equation for each piece

first piece = f

f = 2s equation 1

t = 3s equation 2

2.- Write a total equation

f + s + t = 120 equation 3

-Substitute equations 1 and 2 in equation 3

2s + s + 3s = 120

3.- Calculate the length of each side

6s = 120

s = 120/6

s = 20 ft

f = 2(20)

f = 40 ft

t = 3(20)

t = 60 ft