SOLUTION: Ethan has a 20-ft piece of rope that he will cut into two pieces. One piece will be one-fourth the length of the other piece. Find the lengh of each piece.

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Question 623259: Ethan has a 20-ft piece of rope that he will cut into two pieces. One piece will be one-fourth the length of the other piece. Find the lengh of each piece.
Found 2 solutions by ewatrrr, lwsshak3:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

Ethan has a 20-ft piece of rope that he will cut into two pieces. 

One piece will be one-fourth the length highlight%28x%29of the other piece.

Question states***

 +x+%2B+%281%2F4%29x+=+20%27

     %285%2F4%29x+=+20

            +x+=+20%284%2F5%29

             x = 16', the length of the longer piece.  The shorter piece is 4'

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Ethan has a 20-ft piece of rope that he will cut into two pieces. One piece will be one-fourth the length of the other piece. Find the lengh of each piece.Ethan has a 20-ft piece of rope that he will cut into two pieces. One piece will be one-fourth the length of the other piece. Find the lengh of each piece.
**
let x=length of one piece
20-x=length of other piece
x/(20-x)=1/4
4x=20-x
5x=20
x=4
20-x=16
length of one piece=4 ft
length of other piece=16 ft