document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1150819>Question 1150819</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man made a will the in which he left  4/9 of his money to his wife and 2/5 of the remainder to his eldest child. The rest was to be shared equally among his four younger children. If each of the younger children received $108000; what was his wife's share?  </SPAN>\n" );
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document.write( "There are, as usual, many different ways to set up this problem for solving.  I hope you will get responses from other tutors showing different methods; perhaps you will find a method different than mine more to your liking.<br><BR>\n" );
document.write( "Let x be the full amount of money.<br><BR>\n" );
document.write( "total amount: x<br><BR>\n" );
document.write( "The wife gets 4/9 of the money; 5/9 is left for the children.<br><BR>\n" );
document.write( "wife's share: (4/9)x<BR>\n" );
document.write( "children's share: (5/9)x<br><BR>\n" );
document.write( "The eldest child get 2/5 of what is left for the children; 3/5 of what is left goes to the other children.<br><BR>\n" );
document.write( "eldest child's share: (2/5)(5/9)x = (2/9)x<BR>\n" );
document.write( "remaining children's shares: (3/5)(5/9)x = (3/9)x = (1/3)x<br><BR>\n" );
document.write( "What remains for the four youngest children is divided equally among them.<br><BR>\n" );
document.write( "share for each younger child: (1/4)(1/3)x = (1/12)x<br><BR>\n" );
document.write( "The share for each younger child is $108,000.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F12%29x+=+108000 ALIGN=MIDDLE  ALT=\"%281%2F12%29x+=+108000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1296000 ALIGN=MIDDLE  ALT=\"x+=+1296000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The total amount of money is $1,296,000.<br><BR>\n" );
document.write( "The wife's share is 4/9 of the total:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F9%29%281296000%29+=+4%28144000%29+=+576000 ALIGN=MIDDLE  ALT=\"%284%2F9%29%281296000%29+=+4%28144000%29+=+576000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The wife's share is $576,000.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );