SOLUTION: A board 65 feet long is cut into two pieces such that the length of one piece is two-thirds of the length of the other piece. Find the length of the shorter piece of board.
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Question 700592: A board 65 feet long is cut into two pieces such that the length of one piece is two-thirds of the length of the other piece. Find the length of the shorter piece of board. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A board 65 feet long is cut into two pieces such that the length of one piece is two-thirds of the length of the other piece. Find the length of the shorter piece of board.
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Equations:
x + y = 65 feet
x = (2/3)y
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Substitute and solve for "y":
(2/3)y + y = 65
(5/3)y = 65
(1/3)y = 13
y = 39 feet
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Solve for "x":
x = (2/3)y
x = (2/3)39
x = 26 feet
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Cheers,
Stan H.
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