Question

A 24-inch board is to be cut into three pieces so that the second piece is twice as

long as the first piece and the third piece is 3 times as long as the first piece. If x
represents the length of the first piece, find the lengths of all three pieces.

Answer 1

The answer to your question is: first piece = 4 in, second piece = 8 in, third piece = 12 in

Explanation:

Data

total length = 24 inches

first piece = x in

second piece = 2x

third piece = 3x

Equation

x + 2x + 3x = 24

6x = 24

x = 24/6

x = 4 lengths of the first piece

second piece = 2(4) = 8 inches

third piece = 3(4) = 12 inches