1. ## 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?

2. Originally Posted by Yeye
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

3. Originally Posted by Yeye
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:

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

4. Originally Posted by stapel
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

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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

5. Originally Posted by ADARSH
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.