Question

A 174-inch board is cut into two pieces. One piece is five times the length of the other. Find the lengths of the two pieces.The short piece is ________The long piece is_________

Answer 1

Given:

A 174-inch board is cut into two pieces. One piece is five times the length of the other.

To find:

the lengths of the two pieces.

Solution:

Let the length of the smaller piece be x. So, the length of the longer piece is 5x.

According to the question,

`\begin{gathered} x+5x=174 \\ 6x=174 \\ x=29 \end{gathered}`

So, the length of the smaller piece is 29 inches and the length of the longer piece is 29 x 5 = 145 inches.

Thus, the short piece is 29 inches and the long piece is 145 inches.