i need help breaking down this Problem, i'm lost

Mathematics
Tutor: None Selected Time limit: 1 Day

Three individuals form a partnership and agree to divide the profits equally. X invests $9,000, Y invests $7,000, Z invests $4,000. If the profits are $4,800, how much less does X receive than if the profits were divided in proportion to the amount invested?

May 15th, 2015

In order to figure out what proportion was invested by X, Y, and Z, we need to know the total, since the PROPORTION invested by X will be the AMOUNTinvested by X divided by the total AMOUNT invested by all three individuals. That total is 9,000 + 7,000 + 4,000 = 20,000, X's proportion of the total invested is 9,000/20,000 which is equal to 9/20 (in fractional form). So, X's amount of the profit will be (9/20) * 4800. = 9 * 240 = $2,160 if the profit is divided up in proportion to the amount invested. But, if the profit is divided equally, X only gets 
(1/3) * 4800 = $1600. That means that X gets 2160-1600 = $560 less if profit is divided equally. IMHO, this question might have been easier to answer if differently worded. 

May 15th, 2015

i kinda got it but im lost in where the 240=$2,160 where did you get those numbers? better question is how to get those numbers?

May 15th, 2015

Sorry. First, did (9/20) * 4800 make sense? If so, good. the 240 came from rewriting the fraction as follows:

(9/20) * 4800 = 9 * 4800/20 = 9 * 240. Does that help?


May 15th, 2015

ok so i got the 240 because you take 4800 and divide it by 20. ok so now how did you get the $2.160?

May 15th, 2015

Multiply the 240 by 9. Does that help?

May 15th, 2015

OMG wow thank you sooo much. you ROCK

May 15th, 2015

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May 15th, 2015
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May 15th, 2015
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