document.write( "Question 509795: Three individuals form a partnership and agree to divide the profits equally. X invests 9,000, Y invests 7,000 and Z invests 4,000. If the profits are 4800, how much less does X receive than if the profits were divided in proportion to the amount invested? Answer is 560. How is this arrived at is my question. I need the mechanics of this solution. Please and thank you sincerely, Claudette \n" ); document.write( "

Algebra.Com's Answer #341638 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Three individuals form a partnership and agree to divide the profits equally.
\n" ); document.write( " X invests 9,000, Y invests 7,000 and Z invests 4,000.
\n" ); document.write( " If the profits are 4800, how much less does X receive than if the profits were divided in proportion to the amount invested?
\n" ); document.write( ":
\n" ); document.write( "To divide the profits according to amt invested, we can use fractions with the denominator of 9+7+4 = 20, therefore:
\n" ); document.write( ":
\n" ); document.write( "x should get $\"9%2F20\"$ of the profits
\n" ); document.write( "y should get $\"7%2F20\"$
\n" ); document.write( "z should get $\"4%2F20\"$
\n" ); document.write( ":
\n" ); document.write( "Assume the total profit was 4800 and divided equally
\n" ); document.write( " $\"4800%2F3\"$ = 1600 each
\n" ); document.write( ":
\n" ); document.write( "If the profits divide based on invested amts, then x: $\"9%2F20\"$ *4800 = $2160
\n" ); document.write( ":
\n" ); document.write( "to find the difference in the two methods of distribution:
\n" ); document.write( "2160 = 1600 = $560 difference
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