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19 April, 22:33

A container holding 12 ounces of a solution that is one part alcohol and two parts water is added to a container holding eight ounces of a solution that is one part alcohol to three parts water. What is the ratio of alcohol to water in the resulting solution?

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  1. 19 April, 22:49
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    three parts alcohol and seven parts water.

    Explanation:

    The total ounces of solution formed = 20 ounces

    The solution of volume 12 ounces has one part alcohol and two parts water.

    If there are three parts of solution, there is one part alcohol and two parts water.

    for 12 ounces we have = 4 ounces alcohol and 8 ounces of water.

    for 8 ounces of solution we have one part alcohol and three parts water.

    It means in 8 ounces we have = 2 ounces alcohol and 6 ounces of water.

    The total ounces of alcohol in the solution after mixing = 4 + 2 = 6

    the total ounces of water in the solution after mixing = 8 + 6 = 14

    Thus the ratio of alcohol to water = 6:14 = 3: 7

    it means three parts alcohol and seven parts water.
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