SOLUTION: Using Elimination: Suppose a man wants to mix 50 quarts of 56% liquor. How many quarts of pure alcohol and how many quarts of water must he add to 25 quarts of 72% liquor?

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Question 349506: Using Elimination: Suppose a man wants to mix 50 quarts of 56% liquor. How many quarts of pure alcohol and how many quarts of water must he add to 25 quarts of 72% liquor?
Answer by Fombitz(13828) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the amount of 100% alcohol.
Let B be the amount of 0% alcohol (water).
A%2BB%2B25=50
1.A%2BB=25
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.
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100A%2B0B%2B72%2825%29=56%2850%29
100A%2B1800=2800
100A=1000
highlight%28A=10%29
Then from eq. 1,
highlight%28B=15%29
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.
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10 quarts of pure aloohol and 15 quarts of pure water need to be added.