SOLUTION: If a 22 inch rope is to be cut into two pieces so that one piece is 3 inches longer than twice the other, how long is each piece?

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Question 1030708: If a 22 inch rope is to be cut into two pieces so that one piece is 3 inches longer than twice the other, how long is each piece?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the 2 pieces: +x+ and +22+-+x+
You are given that:
+22+-+x+=+2x+%2B+3+
--------------------
+3x+=+19+
+x+=+6.333+
and
+22+-+x+=+22+-+6.333+
+22+-+x+=+15.667+
---------------------
One piece is 6.333 in long
The other piece is 15.667 in long
------------------------------
check:
+22+-+x+=+2x+%2B+3+
+22+-+6.333+=+2%2A6.333+%2B+3+
+15.667+=+12.667+%2B+3+
+15.667+=+15.667+
OK