SOLUTION: a section of PVC pipe is 2 1/2 times the length of a second section. The two pipes together have a length of 35 ft. What are the lengths of the two sections?

Algebra ->  Equations -> SOLUTION: a section of PVC pipe is 2 1/2 times the length of a second section. The two pipes together have a length of 35 ft. What are the lengths of the two sections?       Log On


   

Question 289551: a section of PVC pipe is 2 1/2 times the length of a second section. The two pipes together have a length of 35 ft. What are the lengths of the two sections?
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Set-UP:
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Equation 1: A+%2B+B+=+35
Equation 2: A+=+2.5%2A%28B%29
Solution:
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Plug 2.5*(B) into equation 1 for A
Equation 1: A+%2B+B+=+35
2.5%2A%28B%29+%2B+B+=+35 Simplify
3.5%2A%28B%29+=+35 Divide both sides by 3.5
highlight%28B+=+10%29
Now plug 10 into equation 2 for B
Equation 2: A+=+2.5%2A%28B%29
A+=+2.5%2A%2810%29
highlight%28A+=+25%29