# SOLUTION: A board 18 ft long is cut into two pieces. Two feet less than the product of five and the length of the smaller piece is equal to the difference between three times the length of t

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 Click here to see ALL problems on Miscellaneous Word Problems Question 8616: A board 18 ft long is cut into two pieces. Two feet less than the product of five and the length of the smaller piece is equal to the difference between three times the length of the longer piece and eight. Find the length of each piece. Here's what I've done and I know I don't have it setup right. 5x-2+x+18 6x=20 x=3 1/3 x+3x+8=18 4x=26 x=6 1/2Answer by rapaljer(4667)   (Show Source): You can put this solution on YOUR website!The way I did it, always start off by identifying the variables: Let x = length of smaller piece 18-x = length of longer piece The equation is tricky, but just follow the wording of the sentence that is given: 5(smaller) - 2 = 3(longer) - 8 5(x) - 2 = 3(18-x) - 8 5x - 2 = 54 - 3x - 8 5x - 2 = 46 - 3x Add 3x to each side: 5x + 3x - 2 = 46 - 3x + 3x 8x - 2 = 46 Add +2 to each side: 8x = 48 x=6 smaller piece 18-x = 12 longer piece Check: 5(6) -2 = 3(12) - 8 30-2= 36-8 28 = 28 It checks! R^2 at SCC