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Math Help - ratio/ algebra problem

  1. #1
    Member GAdams's Avatar
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    ratio/ algebra problem

    Hi

    Julie has a bag containing x blue marbles and y red marbles.
    The ration of blue marbles to red marbles is 2:3.

    She adds z blue marbles.
    The ratio of blue marbles to red is now 2:1.

    Question
    What is the ratio between x and z?

    Thanks.
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  2. #2
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    earboth's Avatar
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    Quote Originally Posted by GAdams View Post
    Hi

    Julie has a bag containing x blue marbles and y red marbles.
    The ration of blue marbles to red marbles is 2:3.

    She adds z blue marbles.
    The ratio of blue marbles to red is now 2:1.

    Question
    What is the ratio between x and z?

    Thanks.
    Hi,

    you have two equations:

    A: x/y = 2/3

    B: (x+z)/y = 2/1

    From A: y = (3/2)*x

    Substitute this term instaed of y in B:

    (x+z)/y = 2
    x+z = 2*y

    x+z = 2*(3/2)*x = 3x

    z = 2x Therefore: z/x = 2
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  3. #3
    Member GAdams's Avatar
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    Thanks

    Thanks.

    So the ratio of x to z is 2:1
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  4. #4
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    earboth's Avatar
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    Quote Originally Posted by GAdams View Post
    Thanks.

    So the ratio of x to z is 2:1
    Hi,

    you misread my answer unfortunately:

    I wrote

    z/x = 2 that means:

    z : x = 2 : 1

    or if you want the proportion x to z:

    x : z = 1 : 2
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