SOLUTION: Three individuals form a partnership and agree to divide the profits equally. X invests $9,000, Yinvests $7,000, Z invests $4,000. If the profits are $4,800, how much less does X r

Algebra ->  Proportions  -> Lessons -> SOLUTION: Three individuals form a partnership and agree to divide the profits equally. X invests $9,000, Yinvests $7,000, Z invests $4,000. If the profits are $4,800, how much less does X r      Log On


   

Question 1070213: Three individuals form a partnership and agree to divide the profits equally. X invests $9,000, Yinvests $7,000, Z invests $4,000. If the profits are $4,800, how much less does X receive than if theprofits were divided in proportion to the amount invested?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The ratios of the investments were
9:7:4
The fractions of the total for each investment is:
+9+%2F+%28+9+%2B+7+%2B+4+%29+=+9%2F20+
+7%2F20+
+4%2F20+
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check:
+9%2F20+%2B+7%2F20+%2B+4%2F20+=+20%2F20+
OK
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Divided equally, the profits for each are:
+4800%2F3+=+1600+
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Divided in propotion to the invesytments:
X receives
+%289%2F20%29%2A4800+=+2160+
Y receives:
+%287%2F20%29%2A4800+=+1680+
Z receives
+%284%2F20%29%2A4800+=+960+
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check:
+2160+%2B+1680+%2B+960+=+4800+
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If profit are divided equally, X gets
+2160+-+1600+=+560+
$560
less than if divided by amount invested