SOLUTION: A piece of rope 36 feet long is to be cut into two piecies so that one piece is 1/3 as long as the other piece. How many feet long will the shorter piece be?

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Question 310200: A piece of rope 36 feet long is to be cut into two piecies so that one piece is 1/3 as long as the other piece. How many feet long will the shorter piece be?
Found 2 solutions by mananth, MathTherapy:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Rope length = 36 feet
ratio of small to long piece = 1/3
There are 4 parts.
1/4 * 36 is one part = 9 feet
the other is 3/4 * 36 = 27 feet
.
27-9 = 18 feet is the difference.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
A piece of rope 36 feet long is to be cut into two piecies so that one piece is 1/3 as long as the other piece. How many feet long will the shorter piece be?

Let the shorter piece of rope be S

Then the longer piece = 3S, since the shorter piece is 1%2F3 of the longer piece

We now know that: S + 3S = 36

4S = 36

S, or the shorter piece = 36%2F4 = highlight_green%289%29