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Question

How much water should be mixed with 12 ml of alcohol so as to obtain 12% alcohol solution?


Solution

Let the volume of water to be mixed be x ml

Total volume of the mixture = (x+12) ml

If this is to be a 12% alcohol solution, that means that the mixture contains 12% of alcohol by volume.

We know that the mixture has 12 ml of alcohol.

So, we get the equation - 12/(x+12) = 12% or 12/100

 fraction numerator 12 over denominator x plus 12 end fraction equals 12 over 100

Simplifying

 fraction numerator 1 over denominator x plus 12 end fraction equals 1 over 100

Cross multiplying

 x plus 12 equals 100

x = 88 ml

So w need to add 88 ml of water to make it a 12% alcohol solution

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