SOLUTION: A piece of wire 35/3 in long is to be divided into two parts, such as that one part is 2/3 that of. The other. Find the length of the shorter piece.

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Question 970190: A piece of wire 35/3 in long is to be divided into two parts, such as that one part is 2/3 that of. The other. Find the length of the shorter piece.

Answer by lwsshak3(11628) About Me  (Show Source):
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A piece of wire 35/3 in long is to be divided into two parts, such as that one part is 2/3 that of. The other. Find the length of the shorter piece.
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let x=length of shorter piece
(35/3)-x=length of longer piece
x=2/3(35/3-x)
x=70/9-2x/3
lcd:9
9x=70-6x
15x=70
x=14/3
length of shorter piece=14/3=4 2/3 inches