SOLUTION: A fabric store worker has a 57 yard bolt of cloth which is to be cut into three lengths. The length of the second piece is 5 yards shorter than twice the length of the first. The l

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Question 236003: A fabric store worker has a 57 yard bolt of cloth which is to be cut into three lengths. The length of the second piece is 5 yards shorter than twice the length of the first. The length of the third piece is 2 yards longer than twice the length of the first. Find the length of each poece.
Answer by JenniferTutors(83)   (Show Source): You can put this solution on YOUR website!
In this equation you can determine:

a= first piece
b= second piece
c= third piece

Second piece is 5 yards shorter than twice the first.
You can represent "is" as an equal sign here.

Third piece is 2 yards shorter than twice the first.
Same occurrence.
Now, you can place in the variables into the first equation, a+b+c=57


Combine like terms:

Next, you want 5a by itself, so add -3 to the both sides of the equation:

Now, you can solve for a:


Next, place the value of 'a' into the other equations:




Next:




Answers: a=12, b=19, c=26
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