SOLUTION: A rope that is 220 feet long needs to be cut into 6 pieces. Five pieces are the same length, and the sixth piece is three feet longer than twice the length of one of the shorter pi

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Question 314164: A rope that is 220 feet long needs to be cut into 6 pieces. Five pieces are the same length, and the sixth piece is three feet longer than twice the length of one of the shorter pieces. How long is each piece?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let X be the size of the five pieces.
The sixth piece is Y.
1.Y=2X%2B3
2.5X%2BY=220
Substitute eq. 1 into eq. 2,
5X%2BY=220
5X%2B2X%2B3=220
7X=217
X=31
The five pieces are 31 feet and the sixth piece is 65 feet.