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Math Help - Container red and blue

  1. #1
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    dfsdfdf
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    Container red and blue

    Any help for the below problem will be much appreciated.
    Thanks
    Kingman


    Container A contains 250 red marbles and 200 blue marbles.
    Container B contains 600 red marbles and 150 blue marbles.
    How many red and blue marbles must be moved from Container A to Container such that 25% of the marbles in Container A are red and 75% of the marbles in Container B are red?

    Note: A geometrical approach is recommended.
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  2. #2
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    I'm not sure how to do the problem geometrically, but if you move r red marbles and b blue marbles, there will be:
    250-r red marbles and 200-b blue marbles in Container A
    600+r red marbles and 150+b blue marbles in Container B

    So we need 25% of the marbles in Container A to be red:
    250-r = 0.25 * (250-r + 200-b)

    And 75% of the marbles in Container B to be red:
    600+r = 0.75 * (600+r + 150+b)

    From here, you solve the two equations in the two unknowns r and b.

    - Hollywood
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