SOLUTION: A 10 ft board is to be cut into two pieces so that the longer piece is 4 times shourter. Find the length of each piece.
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Question 101365: A 10 ft board is to be cut into two pieces so that the longer piece is 4 times shourter. Find the length of each piece. Answer by doukungfoo(195) (Show Source):
You can put this solution on YOUR website! Lets set the shorter piece equal to x shorter = x
Now define the longer piece in terms of x
Given: longer piece is 4 times the shorter longer = 4x
Ok we are told these two pieces were cut from a 10 ft board so we can write an equation to solve for x
short piece + long piece = 10 ft
x + 4x = 10
5x = 10
x = 2 Answer: short piece is 2 ft
Now use this to find the long piece longer = 4x
4*2=8 Answer: long piece is 8 ft
Check answers:
short piece + long piece = 10 ft
2 + 8 = 10
