document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1068707>Question 1068707</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a man wants to finish a work in 150days. he employs 200 workers. He discoveres that only a quarter of the work is done in 50days. in order to complete the work on schedule, how many workers must he employ additionally? How can solve this equation? Explain ?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #683979 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=683979\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Work rates, r is for rate of ONE worker.  If n workers together, then rate is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2Ar ALIGN=MIDDLE  ALT=\"n%2Ar\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  If time is t and amount of work is w, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=nr%2At=w ALIGN=MIDDLE  ALT=\"nr%2At=w\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The unit for rate is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=PIECEOFWORK%2FTIME ALIGN=MIDDLE  ALT=\"PIECEOFWORK%2FTIME\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Two hundred workers each at rate r worked for 50 days and completed  one quarter of the whole piece of work:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200r%2A50=1%2F4 ALIGN=MIDDLE  ALT=\"200r%2A50=1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Solve this for r.\r<BR>\n" );
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document.write( "Next, the \"man\" still wants to complete the remaining  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the work in 100 days.  How many workers needed, n, for this?  Note, he already has 200 workers. Let N be how many of the added workers.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28N%2B200%29%2Ar%2A100=%283%2F4%29 ALIGN=MIDDLE  ALT=\"%28N%2B200%29%2Ar%2A100=%283%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You should now already have the value of r.<BR>\n" );
document.write( "Solve for N.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200r%2A50=1%2F4 ALIGN=MIDDLE  ALT=\"200r%2A50=1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=1%2F%28200%2A50%2A4%29 ALIGN=MIDDLE  ALT=\"r=1%2F%28200%2A50%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=1%2F40000 ALIGN=MIDDLE  ALT=\"r=1%2F40000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%2B200=%283%2F4%29%281%2F%28100r%29%29 ALIGN=MIDDLE  ALT=\"N%2B200=%283%2F4%29%281%2F%28100r%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N=%283%2F4%29%281%2F%28100r%29%29-200 ALIGN=MIDDLE  ALT=\"N=%283%2F4%29%281%2F%28100r%29%29-200\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N=%283%2F%28400r%29%29-200 ALIGN=MIDDLE  ALT=\"N=%283%2F%28400r%29%29-200\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N=3%2F%28400%281%2F40000%29%29-200 ALIGN=MIDDLE  ALT=\"N=3%2F%28400%281%2F40000%29%29-200\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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