SOLUTION: How much alcohol must be added to 16 liters of a 25% alcohol solution to make a 55% alcohol solution?

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Question 228058: How much alcohol must be added to 16 liters of a 25% alcohol solution to make a 55% alcohol solution?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
How much alcohol must be added to 16 liters of a 25% alcohol solution to make a 55% alcohol solution?
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Equation:
alcohol + alcohol = alcohol
0.25*16 + 1.00x = 0.55(16+x)
Multiply thru by 100 to get:
25*16 + 100x = 55*16 + 55x
45x = 30*16
x = (2/3)*16
x = 10 2/3 liters (amount of pure alcohol needed in the mixture)
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Cheers,
Stan H.

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