SOLUTION: A 16inch board is to be cut into 3 peices so that the second peice is twice as long as the first peice and the third peice is 5 times as long as the first peice, find the lengths o

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A 16inch board is to be cut into 3 peices so that the second peice is twice as long as the first peice and the third peice is 5 times as long as the first peice, find the lengths o      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 838882: A 16inch board is to be cut into 3 peices so that the second peice is twice as long as the first peice and the third peice is 5 times as long as the first peice, find the lengths of all three peices.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
piece, not peice.

Suppose the first piece has length x in. Then the second piece has length 2x and the third piece has length 5x. 5x + 2x + x = 16 --> 8x = 16 --> x = 2, so the lengths are 2 in, 4 in, and 10 in.