SOLUTION: The carpenter below saws a board into two pieces. He wants one piece to be 2 feet longer than twice the length of the shorter piece. Find the length (in ft) of each piece. 14 ft

Question 1164033: The carpenter below saws a board into two pieces. He wants one piece to be 2 feet longer than twice the length of the shorter piece. Find the length (in ft) of each piece.
14 ft
A carpenter is sawing a board into two pieces of different size. The length of the entire board is 14 ft. The length of the smaller piece is labeled x.
smaller value
ft
larger value
ft

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the length of the board is 14 feet.
let x = the size of the smaller piece.
then 2x + 2 = the size of the larger piece.
your equation is x + 2x + 2 = 14
combine like terms and subtract 2 from both sides of the equation to get:
3x = 12
solve for x to get x = 4
that's the size of the smaller piece.
the larger piece is 2 times that plus 2 = 10
the sum of the two pieces is 14.

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