SOLUTION: How many ounces of vermouth containing 10% alcohol should be added to 20 ounces of gin containing 60% alcohol to make a pitcher of martinis that contains 30% alcohol?

Question 569166: How many ounces of vermouth containing 10% alcohol should be added to 20 ounces of gin containing 60% alcohol to make a pitcher of martinis that contains 30% alcohol?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How many ounces of vermouth containing 10% alcohol should be added to 20 ounces of gin containing 60% alcohol to make a pitcher of martinis that contains 30% alcohol?
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Equation:
alcohol + alcohol = alcohol
0.10x + 0.60*20 = 0.30(x+20)
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Multiply thru by 100:
10x + 60*20 = 30x +30*20
20x = 30*20
x = 30 oz (amt. of 10% vermouth needed)
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Cheers,
Stan H.
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