Anna-Maria has added 4 quarts of an alcohol in water solution to 1 quart of water and her ending product is a 36% alcohol in water solution. What was the concentration of the 4 quarts of alcohol solution that was added?

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24-05-2016
Mathematics

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Anna-Maria has added 4 quarts of an alcohol in water solution to 1 quart of water and her ending product is a 36% alcohol in water solution. What was the concentration of the 4 quarts of alcohol solution that was added?

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andriansp andriansp · Answer 1 · 2017-10-13T13:04:50+02:00

The concentration of solution would be the amount of the molecule divided by the volume. In this case, the solution concentration is 36% and the volume is 4 quarts + 1 quarts= 5 quarts. You are asked the concentration before 1 quarts added. The alcohol content should be same for both solutions. The answer should be:

concentration = alcohol content/ volume
alcohol content =concentration * volume
alcohol content1 =alcohol content2
36% * 5 quarts = concentration2 * 4quarts
concentration2= 36% * 5 quarts / 4 quarts= 45%