SOLUTION: Suppose that you have a supply of a 25% solution of alcohol and a 75% solution of alcohol. How many quarts of each should be mixed to produce 70 quarts that is 35% alcohol?

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Question 213481: Suppose that you have a supply of a 25% solution of alcohol and a 75% solution of alcohol. How many quarts of each should be mixed to produce 70 quarts that is 35% alcohol?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose that you have a supply of a 25% solution of alcohol and a 75% solution of alcohol. How many quarts of each should be mixed to produce 70 quarts that is 35% alcohol?
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Equation:
alcohol + alcohol = alcohol
0.25x + 0.75(70-x) = 0.35*70
Multiply thru by 100 to get:
25x + 75*70 - 75x = 35*70
-50x = -40*70
x = 56 quarts (amount of 25% solution needed in the mix)
70-x = 14 quarts (amount of 75% solution needed in the mix)
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Cheers,
Stan H.