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Math Help - Need Assistance...

  1. #1
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    Need Assistance...

    A vessel is full fo mixture of kerosene and petrol in which there is 18% kerosene.Eight litres are drawn off and then the vessel is filled with petrol.If the kerosene is now 15%, How much does the vessel hold?

    Any help would be greatly appreciated.

    Thanks,
    Anshu
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  2. #2
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    Quote Originally Posted by Curious_eager View Post
    A vessel is full fo mixture of kerosene and petrol in which there is 18% kerosene.Eight litres are drawn off and then the vessel is filled with petrol.If the kerosene is now 15%, How much does the vessel hold?

    Any help would be greatly appreciated.

    Thanks,
    Anshu
    Assumptions: The contents of the vessel are well mixed (this means the composition you remove is the same throughout the vessel) and it is a binary mixture containing only petrol and kerosene

    Let k = amount of kerosene, p = the amount of petrol and V = volume

    V = 0.18k + (1-0.18)p (eq1)

    V - 8 = 0.15k + (1-0.15)p (eq2)

    Rearrange eq2: V = 8 + 0.15k + 0.85p (eq3)

    You now have two equations in k and p (V will cancel)
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