Çözüldü Percentage Problem - Single Variable Equation

Konusu 'TOEFL - IELTS - SAT - ACT - GRE - GMAT Hazırlık' forumundadır ve Honore tarafından 6 Ekim 2023 başlatılmıştır.

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  1. Honore

    Honore Yönetici Yönetici

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    Test adaptation of a problem from Queen's College: (There is no official solution provided.)

    How many ounces of pure water should be added to 80 oz. of an 8% salt solution to make a 5% salt solution?

    A) 40
    B) 42
    C) 44
    D) 46
    E) 48


    https://www.qc.cuny.edu/academics/math/wp-content/uploads/sites/42/2023/05/115fa22.pdf
    (The Last Question)

    [80·(1 - 0.08) + Water] / (80 + Water) = 1 - 0.05 ⇒ Water = 48 oz.

    Numerical Verification:
    Amount of salt at the beginning: 80·0.08 = 6.4 oz
    Amount of water at the beginning: 80·0.92 = 73.6 oz
    After adding 48 oz. pure water;
    the percentage of salt is 6.4 / (80 + 48) = 0.05
    the percentage of pure water is (73.6 + 48) / (80 + 48) = 0.95

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