SOLUTION: the carpenter saws a board that is 22 feet long into two pieces. One piece is to be 1 foot longer than twice the length of the shorter piece. Find the length of each piece.

Question 409853: the carpenter saws a board that is 22 feet long into two pieces. One piece is to be 1 foot longer than twice the length of the shorter piece. Find the length of each piece.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call the length of the shorter piece x. Then the longer piece will be 1 + 2x.
Together they must be 22 feet...the algebra looks like this:
x + (1 + 2x) = 22
3x + 1 = 22
3x = 21
x = 7
2x + 1 = 15
Your pieces are 7 and 15 feet long.

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