document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=7663>Question 7663</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man dies and leaves half of his wealth to his wife.  He leaves 1/7 of his wealth to his son.  He leaves 2/3 of his wealth to his servant and $2,000 to his dog.  How much total wealth did the man have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #4229 by </B><A HREF=/tutors/aboutme.mpl?userid=glabow><B>glabow(165)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=glabow><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=4229\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This kind of indeterminate problem usually has constraints. I will use: what is the smallest amount he could have had.<BR>\n" );
document.write( "We have the following information<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2F2%2Bw%2F7%2B2w%2F3+%2B2000+=+estate ALIGN=MIDDLE  ALT=\"w%2F2%2Bw%2F7%2B2w%2F3+%2B2000+=+estate\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21w%2F42%2B6w%2F42%2B28w%2F42%2B2000+=+estate ALIGN=MIDDLE  ALT=\"21w%2F42%2B6w%2F42%2B28w%2F42%2B2000+=+estate\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=55w%2F42%2B2000=estate ALIGN=MIDDLE  ALT=\"55w%2F42%2B2000=estate\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The issue now is to find an integer w that allows a solution. Obviously 42 will work.<BR>\n" );
document.write( "The numerator of the distributions is then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=55%2842%29=2310 ALIGN=MIDDLE  ALT=\"55%2842%29=2310\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So he leaves 1/2 of that to his wife; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2310%2F2=1155 ALIGN=MIDDLE  ALT=\"2310%2F2=1155\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "He leaves 1/7 of that to his son; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2310%2F7=330 ALIGN=MIDDLE  ALT=\"2310%2F7=330\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "He leaves 2/3 of that to his servant <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4620%2F3=1540 ALIGN=MIDDLE  ALT=\"4620%2F3=1540\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So his total estate was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1155%2B330%2B1540%2B2000=5025 ALIGN=MIDDLE  ALT=\"1155%2B330%2B1540%2B2000=5025\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "[Since I hate these kinds of problems, someone should check my logic carefully.] </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );