Question

A wooden board 27 ft long is cut into two pieces so that the longer piece is 8

times as long as the shorter piece. Find the lengths of the two pieces.

Answer 1

3ft and 24 ft.

Explanation:

• Let the length of the shorter piece be x

The longer piece is 8 times as long as shorter piece

therefore,

• Length of longer piece = 8x

Total length of the wooden board = 27 ft.

27 = longer length + shorter length

27 = x + 8x

27 = 9x

dividing both sided by 9

3 = x

since x was the length of the shorter piece

shorter piece is 3 ft. long

and the longer piece was equal to 8x

longer piece is 24 ft. long