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Math Help - Worded problem - getting an equation and solving it.

  1. #1
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    Worded problem - getting an equation and solving it.

    3 boys have 656 marbles.
    Ali has 3 times more marbles than Bala.
    Calvin has 34 few than Bala.
    How many marbles does Bala have?
    Last edited by mr fantastic; May 11th 2011 at 11:52 PM. Reason: Re-titled.
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  2. #2
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    Introduce useful notation
    Name stuff.

    A = # of marbles for Ali
    B = # of marbles for Bala
    C = # of marbles for Calvin

    Now, start translating those sentences.

    Let's see what you get.
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  3. #3
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    Quote Originally Posted by TKHunny View Post
    Introduce useful notation
    Name stuff.

    A = # of marbles for Ali
    B = # of marbles for Bala
    C = # of marbles for Calvin

    Now, start translating those sentences.

    Let's see what you get.
    Ali = x
    Bala = x/3
    Calvin = x/3 -34?
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  4. #4
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    Correct. x + x/3 + (x/3 - 34) = 656, hence x = 414, therefore Bala has 138 marbles.
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  5. #5
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    Quote Originally Posted by johnny View Post
    138
    can provide the formula? Thanks
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  6. #6
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    Solution is provided.
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  7. #7
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    thanks very much.
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  8. #8
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    Quote Originally Posted by johnny View Post
    Correct. x + x/3 + (x/3 - 34) = 656, hence x = 414, therefore Bala has 138 marbles.
    apologies for being naive.

    i cannot get the answer from the above formula.
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  9. #9
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    x + x/3 + (x/3 - 34) = 3x/3 + x/3 + (x/3 - 34) = 4x/3 + (x/3 - 34) = 5x/3 - 34 = 656
    5x/3 - 34 + 34 = 656 + 34
    5x/3 = 690
    (5x/3)(3/5) = 690(3/5) = 414
    ∴ x = 414
    Divide x by 3 to determine correctly that Bala has 138 marbles.
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  10. #10
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    oh. i calculated wrongly. no wonder i could not find the exact answer with my formula. Thanks ALOT!!!!
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