SOLUTION: How many ounces of a 32% alcohol solution and a 38% alcohol solution must be combined to obtain 60 ounces of a 37% solution?

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Question 1008572: How many ounces of a 32% alcohol solution and a 38% alcohol solution must be combined to obtain 60 ounces of a 37% solution?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let X be the ounces of 32% solution.
Let Y be the ounces of 38% solution.
X%2BY=60
32X%2B38Y=37%28X%2BY%29=37%2860%29=2220
Multiply the first equation by 32 and subtract from the second.
32X%2B38Y-32X-32Y=2220-60%2832%29
6Y=300
Y=50
Then from the first equation,
X%2B50=60
X=10