Find length of each piece of rope, given that one piece is

sharjackson

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Oct 9, 2007
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Help I need this answer fast and am lost on how to get it:

A piece of rope 27m long is cut into two pieces so that one piece is four-fifths long as long as the other.Find the length of each piece.
 
Length of rope ,L,=27m
one length after cutting = xm
other length after cutting = 27-x
but x= 4/5of [27-x]
x=4/5[27-x] multiply both sides by 5
5x=4[27-x] clear bracket
5x=108-4x add 4x to each side
9x=108 divide both sides by 9
x=12

one piece = 12m answer
second piece = 15 m answer
is 12 [4/5] of 15? yes proof
 
I tutor in a high school in Florida during the winter, but I don't summers when I live in NY.
If you send me your problems I will try to help
Arthur
 
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