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Math Help - Fraction problems

  1. #1
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    Fraction problems

    Hey i was looking for help on these problems; how would i go about finding the solutions to them both?

    1.If a storage tank is holding 450 liters when it is three quarters full, how much will it contain when it is two thirds full?.

    And

    2.three people P,Q and R contribute to a fund. P provides 3/5 of the total, Q provides 2/3 of the remainder and R provides 8. determine a) the total of the fund. b)the contributions of P and Q.

    Thanks
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  2. #2
    Nrt
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    1)

    Let the total capacity of the tank be x.

    When it's \frac{3}{4} full it can contain 450 liters.

    Now lets find its total capacity. If \frac{3x}{4}=450 then x=\frac{4.450}{3}=600

    So when it's \frac{2}{3} full, there will be \frac{2.600}{3}=400 liters.
    Last edited by Nrt; October 4th 2009 at 05:03 AM.
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  3. #3
    Nrt
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    2)

    Total=x

    P provies \frac{3}{5} of total which is \frac{3x}{5}, now the remaining is x-\frac{3x}{5}=\frac{2x}{5}.

    Q provides \frac{2}{3} of the remainder, so \frac{2x}{5}.\frac{2}{3}=\frac{4x}{15} that is the amount Q gives.

    R gives 8, it's equal to \frac{2x}{15}.

    ( \frac{2x}{5}-\frac{4x}{15}=\frac{2x}{15})

    I substracted the amount Q provided ( \frac{4x}{15}) from the total fund left ( \frac{2x}{5}) after P's contribution.

    So we know that 8 =\frac{2}{15} of the total amount. 8.\frac{15}{2}=60 is the total amount.

    From here we can find P's contribution which is 60.\frac{3}{5}=36 and Q's, 60.\frac{4}{15}=16
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  4. #4
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    Thanks mate, that made a lot more sense then the way i was going about it.
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