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

timer Asked: May 15th, 2015
account_balance_wallet $5

Question Description

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?

Tutor Answer

School: University of Maryland

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. 

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