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Mathematics > Standard Multiple Choice

In an solution of water and alcohol, the ratio by mass of water to alcohol is to . If grams of a solution consisting of grams water for each gram of alcohol is added to the solution, what fraction by mass of the new solution is alcohol?

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### Explanation

To find what fraction by mass of the new solution is alcohol, you can find how many grams of alcohol are in the final solution of grams. Since the solution is part alcohol to parts water, it is alcohol. So it contains grams of alcohol. Similarly, the solution is alcohol by mass, so it contains grams of alcohol. Thus, the final solution contains grams of alcohol, so , or , of it is alcohol.

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