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Math Help - Alligation problem?

  1. #1
    Junior Member
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    Alligation problem?

    Q) A vessel contains 70 lts of liquid which have 10% of water.How much water is added to the mixture so that the final mixture contains 12.5% of water?

    Any help would be greatly apppreciated?

    Thanks,
    Ashish
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  2. #2
    MHF Contributor

    Joined
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    "Alligation"? Is that what Alligators do?

    "A vessel contains 70 lts of liquid which have 10% of water." Okay, 10% of 70 is 7 so we have 7 l of water in 70 l overall.

    "How much water is added to the mixture so that the final mixture contains 12.5% of water?"
    Let x be the amount of water added, in liters. Then we have x+ 7 liters of water, in x+ 70 liters overall. The concentration is now \frac{x+ 7}{x+ 70}= 0.125. Solve that for x.
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