document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=76623>Question 76623</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 10 men and 15 women complete a job in 6 days, 1 man can complete the same work in 100 days, how many days does 1 women take to complete the same work </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54957 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=54957\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The rate that the job is getting done by thge 10 men and 15 women<BR>\n" );
document.write( "is 1 job / 6 days. I'll say that the rate that 1 man is doing the job<BR>\n" );
document.write( "is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fm ALIGN=MIDDLE  ALT=\"1%2Fm\"   DISABLED_style= \"max-width:90%; height:auto;\" > jobs/day and the rate that 1 woman is doing the job is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fw ALIGN=MIDDLE  ALT=\"1%2Fw\"   DISABLED_style= \"max-width:90%; height:auto;\" > jobs/day.<BR>\n" );
document.write( "10 men are working 10 times as fast and 15 women are working 15 times<BR>\n" );
document.write( "as fast.<BR>\n" );
document.write( "So, the rate 10 men are working is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2A%281%2Fm%29 ALIGN=MIDDLE  ALT=\"10%2A%281%2Fm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. The rate that<BR>\n" );
document.write( "15 women are working is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2A%281%2Fw%29 ALIGN=MIDDLE  ALT=\"15%2A%281%2Fw%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > therefore<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6+=+10%2A%281%2Fm%29+%2B+15%2A%281%2Fw%29 ALIGN=MIDDLE  ALT=\"1%2F6+=+10%2A%281%2Fm%29+%2B+15%2A%281%2Fw%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The problem tells me that 1 man does the job in 100 days, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fm+=+1%2F100 ALIGN=MIDDLE  ALT=\"1%2Fm+=+1%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6+=+10%2A%281%2F100%29+%2B+15%2A%281%2Fw%29 ALIGN=MIDDLE  ALT=\"1%2F6+=+10%2A%281%2F100%29+%2B+15%2A%281%2Fw%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6+=+1%2F10+%2B+15%2Fw ALIGN=MIDDLE  ALT=\"1%2F6+=+1%2F10+%2B+15%2Fw\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both sides by the LCD, 30w<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5w+=+3w+%2B+30%2A15 ALIGN=MIDDLE  ALT=\"5w+=+3w+%2B+30%2A15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w+=+450 ALIGN=MIDDLE  ALT=\"2w+=+450\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+225 ALIGN=MIDDLE  ALT=\"w+=+225\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fw+=+1%2F225 ALIGN=MIDDLE  ALT=\"1%2Fw+=+1%2F225\"   DISABLED_style= \"max-width:90%; height:auto;\" >. It takes 1 woman 225 days to do the job alone.<BR>\n" );
document.write( "check<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6+=+10%2A%281%2F100%29+%2B+15%2A%281%2F225%29 ALIGN=MIDDLE  ALT=\"1%2F6+=+10%2A%281%2F100%29+%2B+15%2A%281%2F225%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6+=+1%2F10+%2B+1%2F15 ALIGN=MIDDLE  ALT=\"1%2F6+=+1%2F10+%2B+1%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F30+=+3%2F30+%2B+2%2F30 ALIGN=MIDDLE  ALT=\"5%2F30+=+3%2F30+%2B+2%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "\n" );
document.write( "    </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );