A board 60 in. long is cut into two parts so that the longer piece is 5 times the shorter. What are the lengths of the two pieces?

Question

The shorter piece is ___  in.

The longer piece is ____  in.

Answer 1

Given: 60 inch board is cut into two pieces

with the longer piece 5 times the shorter.

What are the lengths of the two pieces?

SOLUTION:

Let x = length of shorter piece

Then, 5x is the length of the longer piece.

Together, they add up to 60 inches.

60 = x + 5x

60 = 6x

10 = x

The shorter board is 10 inches

The longer board is 50 inches