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March 26, 2017

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Suppose that you have a supply of a 25% solution of alcohol and a 75% solution of alcohol. How many quarts of each should be mixed to produce 90 quarts that is 60% alcohol?

  • Math - ,

    work with the amount of alcohol in each part. It has to add up to the total alcohol.

    .25x + .75(90-x) = .60(90)
    x = 27

    so, 27 qt @ 25% and 63 qt @ 75%

  • Math - ,

    Thank you,and how did you get come up with the equation?

  • Math - ,

    Thank you,and how did set up the equation?

  • Math - ,

    If you let x be the amount of 25% solution, then .25x is the amount of alcohol in that solutions.

    Since there are 90 qts in all, 90-x is the amount of the 75% solution. .75(90-x) is the amount of alcohol in that solution.

    Add up the two amounts of alcohol, and it must equal the amount of alcohol in 90 qts of 60% solution.

    Ta-daa

  • Math - ,

    Thanks

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