SOLUTION: a carpenter has 2 peices of wallpaper border to use in a house. one piece is 5 feet longer than the other. together the two pieces measure 105 feet. what is x, the length of the sh

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Question 25368: a carpenter has 2 peices of wallpaper border to use in a house. one piece is 5 feet longer than the other. together the two pieces measure 105 feet. what is x, the length of the shorter piece of border?
Answer by queenofit(120)   (Show Source): You can put this solution on YOUR website!
Ok, first you know you have 2 pieces of boarder.
let x= the shorter piece
let x+5= the longer piece (only logical because it is 5ft longer)
set up your equation like this.
x+x+5=105
2x+5=105 (you can add the x's together)
2x+5-5=105-5 (you must get like terms together)
2x=100 (divide both sides by 2)
x=50
x+5=55
the shorter piece is 50ft and the longer piece is x+5 so it is 55ft.
hope this helps

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