SOLUTION: A 54 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 5 times as long as the first piece. If x repres

Algebra ->  Exponents -> SOLUTION: A 54 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 5 times as long as the first piece. If x repres      Log On


   

Question 778492: A 54 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 5 times as long as the first piece. If x represents the length of the first piece, find the lengths for all three pieces.
Answer by negative49(13) About Me  (Show Source):
You can put this solution on YOUR website!
first piece: x
second piece: 3x
third piece: 5x
x + 3x + 5x = 54 in
9x = 54 in
x = 6 in
first piece: 6 in
second piece: 3(6) = 18 in
third piece: 5(6) = 30 in