Problema Solution

a 40 foot board is to be cut into three pieces so that the second piece is 4 times as long as the first piece, and the third is 5 times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces.

Answer provided by our tutors

let 'x' represent the length of the first piece, then '4x' represents the length of the second piece and '5x' represents the length of the third piece


40 = x + 4x + 5x

x = 40/10 = 4


4*4 = 16

4*5 = 20


the length of the boards are 4, 16 and 20 feet