SOLUTION: A 20% alcohol solution is mixed with a 35% alcohol solution to obtain 60 fluid ounces of 25% alcohol solution. How many fluid ounces of each are needed?

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Question 1024013: A 20% alcohol solution is mixed with a 35% alcohol solution to obtain 60 fluid ounces of 25% alcohol solution. How many fluid ounces of each are needed?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
u quantity of 20% alcohol
v quantity of 35% alcohol

system%28%2820u%2B35v%29%2F60=25%2Cu%2Bv=60%29

%284u%2B7v%29%2F60=5
4u%2B7v=300
Use substitution from the volume sum equation:
4%2860-v%29%2B7v=300
240-4v%2B7v=300
3v%2B240=300
3v=60
highlight%28v=20%29, twenty fluid ounces of the 35% alcohol;
and from this,
highlight%28u=40%29, fourty fluid ounces of the 20% alcohol.