document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=414342>Question 414342</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 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? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #290630 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=290630\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > = amount received by each friend<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > = amount received by each charity<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" > = amount received by the University<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5a+%2B+4b+%2B+c+=+975240 ALIGN=MIDDLE  ALT=\"5a+%2B+4b+%2B+c+=+975240\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+3%2A4%2Ab+ ALIGN=MIDDLE  ALT=\"a+=+3%2A4%2Ab+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+2c ALIGN=MIDDLE  ALT=\"b+=+2c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is 3 equations and 3 unknowns, so it's solvable<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Substitute (3) into (1)<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+%281%2F2%29%2Ab ALIGN=MIDDLE  ALT=\"c+=+%281%2F2%29%2Ab\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5a+%2B+4b+%2B+%281%2F2%29%2Ab+=+975240 ALIGN=MIDDLE  ALT=\"5a+%2B+4b+%2B+%281%2F2%29%2Ab+=+975240\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute (2) into (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A12%2Ab+%2B+4b+%2B+%281%2F2%29%2Ab+=+975240 ALIGN=MIDDLE  ALT=\"5%2A12%2Ab+%2B+4b+%2B+%281%2F2%29%2Ab+=+975240\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60b+%2B+4b+%2B+%281%2F2%29%2Ab+=+975240 ALIGN=MIDDLE  ALT=\"60b+%2B+4b+%2B+%281%2F2%29%2Ab+=+975240\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=128b+%2B+b+=+1950480 ALIGN=MIDDLE  ALT=\"128b+%2B+b+=+1950480\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+1950480%2F129 ALIGN=MIDDLE  ALT=\"b+=+1950480%2F129\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+15120 ALIGN=MIDDLE  ALT=\"b+=+15120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+%281%2F2%29%2A15120 ALIGN=MIDDLE  ALT=\"c+=+%281%2F2%29%2A15120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+7560 ALIGN=MIDDLE  ALT=\"c+=+7560\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+12b+ ALIGN=MIDDLE  ALT=\"a+=+12b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+12%2A15120 ALIGN=MIDDLE  ALT=\"a+=+12%2A15120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+181440 ALIGN=MIDDLE  ALT=\"a+=+181440\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The 5 friends each got $181,440<BR>\n" );
document.write( "The 4 charities each got $15,120<BR>\n" );
document.write( "The University got $7,560<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5a+%2B+4b+%2B+c+=+975240 ALIGN=MIDDLE  ALT=\"5a+%2B+4b+%2B+c+=+975240\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A181440+%2B+4%2A15120+%2B+7560+=+975240 ALIGN=MIDDLE  ALT=\"5%2A181440+%2B+4%2A15120+%2B+7560+=+975240\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=907200+%2B+60480+%2B+7560+=+975240 ALIGN=MIDDLE  ALT=\"907200+%2B+60480+%2B+7560+=+975240\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=975240+=+975240 ALIGN=MIDDLE  ALT=\"975240+=+975240\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );