document.write( "Question 54673: A $975,240 estate is to be divided among 5 friends, 4 charities and a university. Each friend should receive 3 times as much as all the charities combined, and that each charity should receive twice as much as the university. How much did each receive? \n" ); document.write( "
Algebra.Com's Answer #36901 by Edwin McCravy(20056)\"\" \"About 
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A $975,240 estate is to be divided among 5 friends, 4 charities and \r\n" );
document.write( "a university. Each friend should receive 3 times as much as all the \r\n" );
document.write( "charities combined, and that each charity should receive twice as \r\n" );
document.write( "much as the university. How much did each receive?\r\n" );
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document.write( "Let $x = the amount the university will receive.\r\n" );
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document.write( ">>...each charity should receive twice as much as the university...<<\r\n" );
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document.write( "So each charity  receives $2x\r\n" );
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document.write( ">>...4 charities...<<\r\n" );
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document.write( "So all charities combined receive 4($2x) = $8x\r\n" );
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document.write( ">>...Each friend should receive 3 times as much as all the charities\r\n" );
document.write( "combined...<<\r\n" );
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document.write( "Each friend should receive 3($8x) = $24x\r\n" );
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document.write( ">>...5 friends...<<\r\n" );
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document.write( "So all friends combined receive 5($24x) = $120x\r\n" );
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document.write( "Equation comes from:\r\n" );
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document.write( "Amt. university receives + Amt. all charitied combined receivd +\r\n" );
document.write( "    Amt. all friends combined receive = Amt. of entire estate\r\n" );
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document.write( "x + 8x + 120x = 975240\r\n" );
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document.write( "Solve that and get x = $7560\r\n" );
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document.write( "So the university gets                     $7560\r\n" );
document.write( "Each charity gets twice that or $15120\r\n" );
document.write( "So four charities get 4×$15120 or         $60480\r\n" );
document.write( "Each friend gets three times that or\r\n" );
document.write( "$181440, so all five friends get\r\n" );
document.write( "5×$181440 or                             $907200\r\n" );
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document.write( "                  TOTAL                  $975240\r\n" );
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document.write( "Edwin
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