document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=682060>Question 682060</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A donkey and a horse were carrying some bales of cloth.  The donkey said to the horse \"If you give me one of your bales, i shall carry half as much as you.\"  If you give me one of yours, replied the horse, I will be carrying 3x's as much as you.  How many bales was each animal originally carrying?<BR>\n" );
document.write( "THANKS FOR YOUR HELP!!<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #423022 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=423022\">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;\" > = donkey's original number of bales<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;\" > = horses original number of bales<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "After horse gives donkey 1 bale,<BR>\n" );
document.write( "donkey has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+1+ ALIGN=MIDDLE  ALT=\"+a+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > bales<BR>\n" );
document.write( "horse has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+-+1+ ALIGN=MIDDLE  ALT=\"+b+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > bales<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+1+=+%281%2F2%29%2A%28+b+-+1+%29+ ALIGN=MIDDLE  ALT=\"+a+%2B+1+=+%281%2F2%29%2A%28+b+-+1+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "After donkey gives horse 1 bale,<BR>\n" );
document.write( "donkey has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+-+1+ ALIGN=MIDDLE  ALT=\"+a+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > bales<BR>\n" );
document.write( "horse has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+%2B+1+ ALIGN=MIDDLE  ALT=\"+b+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > bales<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+%2B+1+=+3%2A%28+a+-+1+%29+ ALIGN=MIDDLE  ALT=\"+b+%2B+1+=+3%2A%28+a+-+1+%29+\"   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=+2a+%2B+2+=+b+-+1+ ALIGN=MIDDLE  ALT=\"+2a+%2B+2+=+b+-+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=+2a+-+b+=+-3+ ALIGN=MIDDLE  ALT=\"+2a+-+b+=+-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=+b+%2B+1+=+3a+-+3+%29+ ALIGN=MIDDLE  ALT=\"+b+%2B+1+=+3a+-+3+%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=+3a+-+b+=+4+ ALIGN=MIDDLE  ALT=\"+3a+-+b+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Subtract (1) from (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3a+-+b+=+4+ ALIGN=MIDDLE  ALT=\"+3a+-+b+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-2a+%2B+b+=+3+ ALIGN=MIDDLE  ALT=\"+-2a+%2B+b+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+7+ ALIGN=MIDDLE  ALT=\"+a+=+7+\"   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=+3a+-+b+=+4+ ALIGN=MIDDLE  ALT=\"+3a+-+b+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2A7+-+b+=+4+ ALIGN=MIDDLE  ALT=\"+3%2A7+-+b+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+21+-+b+=+4+ ALIGN=MIDDLE  ALT=\"+21+-+b+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+17+ ALIGN=MIDDLE  ALT=\"+b+=+17+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The donkey started with 7 bales<BR>\n" );
document.write( "The horse started with 17 bales<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "horse gives donkey 1 bale<BR>\n" );
document.write( "They have 8 and 16, donkey has 1/2 of horses<BR>\n" );
document.write( "donkey gives horse 1 bale<BR>\n" );
document.write( "They have 6 and 18, horse has 3 times donkey's<BR>\n" );
document.write( "OK<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );