SOLUTION: A 1414​-meter rope is cut into two pieces so that one piece is 22 meters longer than 55 times the shorter piece. Find the lengths of both pieces.

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Question 1120792: A 1414​-meter rope is cut into two pieces so that one piece is 22 meters longer than 55 times the shorter piece. Find the lengths of both pieces.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
x, the Shorter Piece
"One Piece", 22+55x

Total length given as 1414 meters.
x%2B%2855x%2B22%29=1414
-
56x=1414-22
56x=1392
x=24%2648%2F56
highlight%28x=24%266%2F7%29----------the short length
-
Other length, highlight%281389%261%2F7%29-------other "one" length