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Math Help - percent of a solution...

  1. #1
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    percent of a solution...

    ok here is the question..

    how many quarts of alcohol must be added to 10 quarts of a 25% alcohol solution to produce 40% alcohol solution?

    i dunno i jus feel like i have too many unknowns..

    i tried to use barrels to make sense of the problem..

    in the first barrel i have 10 gallons of 25% solution + X gallons of Y% which will yield (10 +X) gallons of 40% solution?

    ok where did i go wrong with this problem, because its not working out.

    thanks in advance
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  2. #2
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    Re: percent of a solution...

    Quote Originally Posted by slapmaxwell1 View Post
    ok here is the question..

    how many quarts of alcohol must be added to 10 quarts of a 25% alcohol solution to produce 40% alcohol solution?

    i dunno i jus feel like i have too many unknowns..

    i tried to use barrels to make sense of the problem..

    in the first barrel i have 10 gallons of 25% solution + X gallons of Y% which will yield (10 +X) gallons of 40% solution?

    ok where did i go wrong with this problem, because its not working out.

    thanks in advance
    Let the amount of alcohol added be x quarts.

    Then you have 10/4 + x = (10 + 4x)/4 quarts of pure alcohol in a volume of 10 + x quarts.

    You require (10 + 4x)/[4(10 + x)] = 0.4 => x = .....
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  3. #3
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    Re: percent of a solution...

    Hi slapmaxwell1,
    Let x = the qts of 100% alc to be added to 10 qts of 25% alc to make x+10 qts of 40% alc
    equation of alc balance x*1 + 10*(.25) = (10+x)*(.4) Solve for x
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