document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=951600>Question 951600</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Euclid is supposed to have given the following problem (about 300 BC):<BR>\n" );
document.write( "A mule and a donkey were going to market laden with wheat. the mule said, \"If you give me one measure, I should carry twice as much as you, but if I give you one, we should have equal burdens.\" what was each of their burdens?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #581142 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=581142\">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=+m+ ALIGN=MIDDLE  ALT=\"+m+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = mule's burden<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+ ALIGN=MIDDLE  ALT=\"+d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = donkey's burden<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+%2B+1+=+2%2A%28+d+-+1+%29+ ALIGN=MIDDLE  ALT=\"+m+%2B+1+=+2%2A%28+d+-+1+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+-+1++=+d+%2B+1+ ALIGN=MIDDLE  ALT=\"+m+-+1++=+d+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+%2B1++=+2d+-+2+ ALIGN=MIDDLE  ALT=\"+m+%2B1++=+2d+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2d+-+m+=+3+ ALIGN=MIDDLE  ALT=\"+2d+-+m+=+3+\"   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=+m+-+1++=+d+%2B+1+ ALIGN=MIDDLE  ALT=\"+m+-+1++=+d+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-d+%2B+m+=+2+ ALIGN=MIDDLE  ALT=\"+-d+%2B+m+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Add (1) and (2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+5+ ALIGN=MIDDLE  ALT=\"+d+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+%2B+1+=+2%2A%28+d+-+1+%29+ ALIGN=MIDDLE  ALT=\"+m+%2B+1+=+2%2A%28+d+-+1+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+%2B+1+=+2%2A%28+5+-+1+%29+ ALIGN=MIDDLE  ALT=\"+m+%2B+1+=+2%2A%28+5+-+1+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+2%2A4+-+1+ ALIGN=MIDDLE  ALT=\"+m+=+2%2A4+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+7+ ALIGN=MIDDLE  ALT=\"+m+=+7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The mule has 7 and the donkey has 5<BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "Donkey gives mule 1, so donkey now<BR>\n" );
document.write( "has 4 and mule has 8<BR>\n" );
document.write( "8 is twice 4, OK<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Mule gives donkey 1, so mule has 6 and<BR>\n" );
document.write( "donkey has 6<BR>\n" );
document.write( "6 = 6, OK\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );