Question

A 48-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 4 times as long as the first piece. Ifx

represents the length of the first piece, find the lengths of all three pieces.
What is the length of the first piece?
What is the length of the second piece?
What is the length of the third piece?

Answer 1

The length of the first piece is 6 inches

The length of the second piece is 18 inches

The length of the third piece is 24 inches

Explanation:

First piece is 6 inches

6 x 3 = 18 -- that means the second piece is 18 inches

6 x 4 = 24 -- that means the third piece is 24 inches

6 + 18 + 24 = 48 -- the sum of what all pieces must equal!