document.write( "Question 414342: A wealthy man died and left an estate of $975, 240 to be divided among 5 friends, 4 charitable organizations, and his university. His will directed that each friend should receive 3 times as much as all the charities combined, and that each charity should receive twice as much as the the university. How much did they all receive? \n" ); document.write( "

Algebra.Com's Answer #290626 by stanbon(75887) $\"\"$ $\"About$

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A wealthy man died and left an estate of $975, 240 to be divided among 5 friends, 4 charitable organizations, and his university. His will directed that each friend should receive 3 times as much as all the charities combined, and that each charity should receive twice as much as the the university. How much did they all receive?
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\n" ); document.write( "Let university share be \"x\".
\n" ); document.write( "Then each charity's share is \"2x\".
\n" ); document.write( "And each friend should receive 3(4*2x)) = 24x
\n" ); document.write( "-----
\n" ); document.write( "Solve: 5*24x + 4(2x) + x = 975240
\n" ); document.write( "120x+8x+x = 975240
\n" ); document.write( "129x = 975240
\n" ); document.write( "x = 7560 (university share)
\n" ); document.write( "2x = 15120 (each charity's share)
\n" ); document.write( "24x = 24*7560 = 181440 (each friend's share)
\n" ); document.write( "==============================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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