SOLUTION: the carpenter saws a board into two pieces. he wants one piece to be one foot longer than twice the length of the shorter piece. find the length of each piece. the board is 22 ft.

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Question 261079: the carpenter saws a board into two pieces. he wants one piece to be one foot longer than twice the length of the shorter piece. find the length of each piece. the board is 22 ft.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Let 1st board = X
2nd board = Y, make this the shorter piece

We know, X%2BY=22ft, condt'n. 1

Also, X=2Y%2B1ft, condt'n. 2

Substitute condt'n. 2 in 1: red%282Y%2B1%29%2BY=22
2Y%2BY=22-1 ---> 3Y=21 ----> cross%283%29Y%2Fcross%283%29=cross%2821%297%2Fcross%283%29
red%28Y=7ft%29, length shorter piece.

In condt'n 2: X=2%287ft%29%2B1=14%2B1
red%28X=15ft%29, longer piece

CHeck via dont'n 1:
15%2B7=22ft
22ft=22ft

Thank you,
Jojo