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Question 683813: A 6-yard fishing line is cut into two pieces, as shown in the image below, where a = 6. Four times the length of the shorter piece is two times the length of the longer piece. Find the length of each piece.
Also find the Equation to solve.
I am so lost.
Answer by ReadingBoosters(3246)   (Show Source):
You can put this solution on YOUR website! The two pieces together are 6 yards, so
x+y = 6
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let x be the longer piece and y be the shorter piece
4y = 2x
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Rearrange x+y=6 as x = 6-y and substitute into 4y=2x
4y = 2(6-y)
Distribute the 2
4y = 12 - 2y
Add 2y to both sides
4y + 2y = 12
6y = 12
Divide both sides by 6
y = 2
If y = 2, then x = 6-2 = 4
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Therefore, the length of the two pieces are 2 yds and 4 yds
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