SOLUTION: a 24-inch board is to be cut into three piece 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. If x represe

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: a 24-inch board is to be cut into three piece 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. If x represe      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 657428: a 24-inch board is to be cut into three piece 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. If x represents the length of the first piece, find the lengths of all three piece
Answer by colliefan(242) About Me  (Show Source):
You can put this solution on YOUR website!
x = the length of the first piece
3x = the length of the second piece
4x = the length of the third piece
The sum of these three = 24 inches so:
x+3x+4x=24
8x=24
8x/8=24/8
x=3
The three pieces are:
x=3 inches
3x=9 inches
4x=12 inches