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Math

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Please help me solve the problem: A mixture of 12 ounces of vinegar and oil is 40 percent vinegar by weight. How many ounces oil must be added to the mixture to produce a new mixture that is only 25 percent vinegar?

  • Math -

    12 oz @ 0.4 = 4.8 oz vinegar.
    12 oz @ 0.6 = 7.2 oz oil.

    You want 25% of some volume to be 4.8 oz vinegar.
    0.25 X = 4.8
    X = 19.2 total volume.
    You had 12 oz; therefore, you must add 19.2 - 12.0 oz oil or you must add 7.2 oz oil to make a final volume of 19.2 oz.

    You can check it to see if it is right.
    4.8 oz vinegar + 7.2 oz oil (initially) + 7.2 oz oil added to make 19.2 oz total.
    vinegar is 4.8/19.2 = 0.25
    oil is 14.4/19.2 = 0.75
    Check my thinking. Check my work.

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