Question

A 80-foot piece of siding is cut into three pieces so that the second piece is four times as long as the first piece and the third piece is five 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 first piece is 8 feet, the second piece is 32 feet and the third piece is 40 feet.

Explanation:

let x = the first piece

let 4x = the second piece

let 5x = the third piece

x + 4x + 5x = 80 Combine like terms

10x = 80 Divide both sides by 10

x = 8

8 Feet is the length of the first piece.

4(8) = 48 Feet is the length of the second piece.

5(8) = 40 Feet is the length of the third piece.

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