SOLUTION: Cut a rope 45 ft long into three pieces so that the longest piece will be three times as long as each of the other two of equal lengths. Find the length of each piece.

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Question 1170734: Cut a rope 45 ft long into three pieces so that the longest piece will be three times as long as each of the other two of equal lengths. Find the length of each piece.
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.

    piece 1 + piece 2 + piece 3 = 45  ft


       x    +   x     +   3x    = 45


You do the rest.



Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Cut a rope 45ft long into three pieces so that
the longest piece x will be three times as long as each of the other two y and zof equal lengths
x%2By%2Bz=45ft
given:y=z and x=3y
3y%2By%2By=45ft
5y=45ft
y=9ft
=>z=9ft
=>x=3%2A9ft=>x=27ft

the length of each piece:
the longest piece is 27ft, and the other two 9ft each