Amazingninja867viz
Answered

A rope is cut into 3 pieces in the ratio of 5:3:1. The longest piece is 32 meters longer than the shortest piece. Find the length of the rope.

Please include your whole solution and step-by-step explanation on how you got the answer.

Sagot :

LizyLazyviz

Answer:

72 meters

Step-by-step explanation:

Let: 5n = longest piece

3n = 2nd longest piece

n= shortest piece

5n +3n+n = length of the rope

5n=32+n

5n-n=32

4n= 32

n=8

substitute the value of n to get the length of the rope

5n+3n+n

=5 (8) + 3 (8) + (8)

=40 + 24 + 8

=72 meters