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Math Help - Problem

  1. #1
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    Problem

    Got a problem here, if it doesn't make any sense then I probably misread it...

    Tara makes X over Y money. James makes X - Y over Y money. Sara makes 2/3 the money Tara makes. If you pool their money together, how much do you have?
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  2. #2
    Like a stone-audioslave ADARSH's Avatar
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    Quote Originally Posted by Yeye View Post
    Got a problem here, if it doesn't make any sense then I probably misread it...

    Tara makes X over Y money. James makes X - Y over Y money. Sara makes 2/3 the money Tara makes. If you pool their money together, how much do you have?
    If I am not very wrong than

    X is the profit Tara earns on investing Y amount of money

    (X-Y) is the profit earned by James over the same amount of money

    2X/3 is the profit earned by Sara for Y amount of money invested
    ``````````````````````````````````````````````````
    The total money in the money we have in the end


    = (Y + X)+ ((X-Y) +Y) + (2X/3 + Y) = 8X/3 + 2Y
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  3. #3
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    Quote Originally Posted by Yeye View Post
    Tara makes X over Y money. James makes X - Y over Y money. Sara makes 2/3 the money Tara makes. If you pool their money together, how much do you have?
    Another possible interpretation is that the "(this) over (that)" statements indicate nothing more than fractions. If so, then:

    Tara makes $(x/y). James makes $[(x-y)/y]. Sara makes 2/3 of Tara's amount, or $[(2/3)(x/y)] = $[(2x)/(3y)]. Their total is:

    . . . . . \frac{x}{y}\, +\, \frac{x\, -\, y}{y}\, +\, \frac{2x}{3y}\, =\, \frac{3x}{3y}\, +\, \frac{3x\, -\, 3y}{3y}\, +\, \frac{2x}{3y}\, =\, ...

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  4. #4
    Like a stone-audioslave ADARSH's Avatar
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    Quote Originally Posted by stapel View Post
    Another possible interpretation is that the "(this) over (that)" statements indicate nothing more than fractions.
    Do you think if they represented Sara's money by 2/3 they will not do so for others


    -------------------------------
    However the other interpretation can be that X over Y means that X is the amount after the profit has been added to initial amount
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  5. #5
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    Quote Originally Posted by ADARSH View Post
    Do you think if they represented Sara's money by 2/3 they will not do so for others
    Under the alternate interpretation, Sara's money wasn't "two-thirds of a dollar", but "two-thirds of Tara's dollars".

    But, as has been demonstrated, other interpretations are possible.
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