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Math Help - Ratio!!!

  1. #1
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    Exclamation Ratio!!!

    Hiya every1, plz help me wif this question...

    The ratio of the amount of liquid in container A to the amount of liquid in container B is 1:3. When 210ml of liquid in container B is poured into container A, the ratio of the amount of liquid in container A to the amount of liquid in container B becomes 3:2. What is the total amount of liquid in both the containers?
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  2. #2
    Senior Member DivideBy0's Avatar
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    Quote Originally Posted by BlAcK-lIsTeD View Post
    Hiya every1, plz help me wif this question...

    The ratio of the amount of liquid in container A to the amount of liquid in container B is 1:3. When 210ml of liquid in container B is poured into container A, the ratio of the amount of liquid in container A to the amount of liquid in container B becomes 3:2. What is the total amount of liquid in both the containers?
    Ok, one of the most important thing about ratios is remembering to adapt them for use in equations.

    From the information given, we can see that

    a/b = 1/3 (1)

    AND

    (a+210)/(b-210) = 3/2 (2)

    We can use these simultaneous equations to solve for each quantity. NOTE that the quantities A and B are the quantities BEFORE the exchange of liquid.

    From Eq.1:
    a = b/3 (1')

    Sub (1') into (2):
    (b/3+210)/(b-210) = 3/2
    2(b/3+210) = 3(b-210)
    2b/3 + 420 = 3b - 630
    7/3b = 1050
    b = 450

    Hence, a = 150
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  3. #3
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    heyz, thz for the answer but does / means smthing over smthing? example: 2/3 is it 2 over 3?
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  4. #4
    Senior Member DivideBy0's Avatar
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    Ah yes, it does. It would be clearer to see if Latex was installed but well, we have to make do for the time being .
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