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

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Question 626597: A piece of wire 35/3 inches long is to be divided into two parts such that one part is 2/3 that of the other. Find the length of the shorter piece.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
A piece of wire 35/3 inches long is to be divided into two parts such that one part is 2/3 that of the other lengthhighlight%28x%29
Question states***
+x+%2B+%282%2F3%29x+=+35in%2F3 |Multiplying thru by 3 so as all denominators = 1
3x + 2x = 35in
5x = 35in
x = 7in, the shorter piece is %282%2F3%297+=+14%2F3 or 4 2/3in
and*****
21%2F3+%2B+14%2F3+=+35%2F3