document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1021502>Question 1021502</A>: <I><SPAN STYLE=\"word-break: break-all;\"> sasha and matt are painting the apartments in a building in the summer. sasha was painting the apartments by herself for 9 days. after those 9 days, matt joined sahsha to help with the painting. working together, they finished the apartments in 4 more days, meat could have painted all the apartments by himself in 22 days. how many days would it have taken sahsha to paint all the apartments alone? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #637263 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=637263\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Call painting all the apartments 1 job<BR>\n" );
document.write( "Let Sasha's rate of working alone = [ 1 job ] / [ t days ]<BR>\n" );
document.write( "In 9  days she gets the following fraction of the job done:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9%2Ft+ ALIGN=MIDDLE  ALT=\"+9%2Ft+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------<BR>\n" );
document.write( "The is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+-+9%2Ft+ ALIGN=MIDDLE  ALT=\"+1+-+9%2Ft+\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the job left to do<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Working together with Matt, their rate of working was:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281+-+9%2Ft+%29%2F4+ ALIGN=MIDDLE  ALT=\"+%281+-+9%2Ft+%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Matt's rate of working alone is:<BR>\n" );
document.write( "[ 1 job ] / [ 22 days ] = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F22+ ALIGN=MIDDLE  ALT=\"+1%2F22+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Add their rates of working to get their rate working together<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Ft+%2B+1%2F22+=+%28%28+1+-+9%2Ft+%29%29+%2F+4+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F22+=+%28%28+1+-+9%2Ft+%29%29+%2F+4+\"   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=+4%2A22t+ ALIGN=MIDDLE  ALT=\"+4%2A22t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%2A22+%2B+4t+=+22t%2A%28+1+-+9%2Ft+%29+ ALIGN=MIDDLE  ALT=\"+4%2A22+%2B+4t+=+22t%2A%28+1+-+9%2Ft+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+88+%2B+4t+=+22t+-+198+ ALIGN=MIDDLE  ALT=\"+88+%2B+4t+=+22t+-+198+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+18t+=+286+ ALIGN=MIDDLE  ALT=\"+18t+=+286+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+15.889+ ALIGN=MIDDLE  ALT=\"+t+=+15.889+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "All alone, it would take her 15.889 days<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Ft+%2B+1%2F22+=+%28%28+1+-+9%2Ft+%29%29+%2F+4+ ALIGN=MIDDLE  ALT=\"+1%2Ft+%2B+1%2F22+=+%28%28+1+-+9%2Ft+%29%29+%2F+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F15.889+%2B+1%2F22+=+%28+1+-+9%2F15.889+%29+%2F+4+ ALIGN=MIDDLE  ALT=\"+1%2F15.889+%2B+1%2F22+=+%28+1+-+9%2F15.889+%29+%2F+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.0629+%2B+.0455+=+%28+1+-+.5664+%29+%2F+4+ ALIGN=MIDDLE  ALT=\"+.0629+%2B+.0455+=+%28+1+-+.5664+%29+%2F+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.1084+=+.4336%2F4+ ALIGN=MIDDLE  ALT=\"+.1084+=+.4336%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.1084+=+.1084+ ALIGN=MIDDLE  ALT=\"+.1084+=+.1084+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "Hope I got it -the numbers are a little strange </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );