SOLUTION: A vessel contains 2 liters of alcohol and 28 liters of water.How many liters of alcohol must be added to make the new mixture 12.5% of alcohol?with explanation.

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Question 1063952: A vessel contains 2 liters of alcohol and 28 liters of water.How many liters of alcohol must be added to make the new mixture 12.5% of alcohol?with explanation.
Answer by math_helper(2461) About Me  (Show Source):
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Let x = number of liters of alcohol to be added
then x+2 = final number of liters of alcohol
and 28+x+2 = final number of liters of liquid in mixture (i.e. water AND alcohol)
(x+2)/(28+x+2) = 0.125
(x+2)/(x+30) = 0.125
x+2 = (0.125)(x+30)
x+2 = 0.125x + 3.75
0.875x = 1.75
x = 1.75/0.875 = 2.
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Ans: Adding highlight%282%29 liters of alcohol will make the mixture 12.5% alcohol
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Check: (2+2)/(28+2+2) = 4/32 = 0.125 = 12.5% (ok)