document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1126924>Question 1126924</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following problem from Pacioli – A mouse is at the top of a poplar tree that is 60 feet high, and a cat is on the ground at its foot. The mouse descends 1&#8260;2 of a foot each day, and at night it turns back 1/6 of a foot. The cat climbs 1 foot a day and slips back 1&#8260;4 of a foot each night. The tree grows 1&#8260;4 of a foot between the cat and the mouse each day and shrinks 1/8 of a foot each night. How long will it take the cat to reach the mouse? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #743259 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=743259\">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=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of [1 day + 1 night] intervals<BR>\n" );
document.write( "The mouse's rate of descent is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F3%29%2F1+ ALIGN=MIDDLE  ALT=\"+%281%2F3%29%2F1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The cat's rate of ascent is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283%2F4%29%2F1+ ALIGN=MIDDLE  ALT=\"+%283%2F4%29%2F1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I can add their rates since they are going toward each other<BR>\n" );
document.write( "Subtract the rate of growth of the tree <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F8%29%2F1+ ALIGN=MIDDLE  ALT=\"+%281%2F8%29%2F1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F3%29%2At+%2B+%283%2F4%29%2At+-+%281%2F8%29%2At+=+60+ ALIGN=MIDDLE  ALT=\"+%281%2F3%29%2At+%2B+%283%2F4%29%2At+-+%281%2F8%29%2At+=+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+48+ ALIGN=MIDDLE  ALT=\"+48+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+16t+%2B+36t+-+6t+=+2880+ ALIGN=MIDDLE  ALT=\"+16t+%2B+36t+-+6t+=+2880+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+46t+=+2880+ ALIGN=MIDDLE  ALT=\"+46t+=+2880+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+62.6087+ ALIGN=MIDDLE  ALT=\"+t+=+62.6087+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I would say it takes 31 days and 32 nights<BR>\n" );
document.write( "get another opinion definitely\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );