Question

A 40 inch board is to be cut into three pieces so that the second price is 4times as long as the first piece and the third piece is 5 times as long as the first piece find the length of all three pieces

Answer 1

Explanation:

Givens

Let the first piece be x

Let the second piece 4x

Let the third piece = 5x

Total length = 40 inches.

Equation

x + 4x + 5x = 40 Combine

Solution

10x = 40 Divide by 10

10x/10 = 40/10

x = 4

Answer

The smallest piece (x) = 4

The middle piece 4x = 4*4 = 16

The largest piece 5x= 5 * 4 = 20