document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=694487>Question 694487</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a factory the ratio of male workers to female work- ers was 5 : 3, If the number of female workers was less by 40, find the total number of workers in the factory.\r<BR>\n" );
document.write( "\n" );
document.write( "a)120<BR>\n" );
document.write( "b)160<BR>\n" );
document.write( "c)180 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #428021 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=428021\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of female workers<BR>\n" );
document.write( "number of male workers = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F3%29x ALIGN=MIDDLE  ALT=\"%285%2F3%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Total number of workers = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B%285%2F3%29x=x%281%2B5%2F3%29=x%288%2F3%29 ALIGN=MIDDLE  ALT=\"x%2B%285%2F3%29x=x%281%2B5%2F3%29=x%288%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "The way I understand the problem, the number of female workers is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40 ALIGN=MIDDLE  ALT=\"40\"   DISABLED_style= \"max-width:90%; height:auto;\" > less than the number of male workers, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%285%2F3%29x-40 ALIGN=MIDDLE  ALT=\"x=%285%2F3%29x-40\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=3%28%285%2F3%29x-40%29 ALIGN=MIDDLE  ALT=\"3x=3%28%285%2F3%29x-40%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=3%285%2F3%29x-3%2A40 ALIGN=MIDDLE  ALT=\"3x=3%285%2F3%29x-3%2A40\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=5x-120%29 ALIGN=MIDDLE  ALT=\"3x=5x-120%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "That equation is fairly easy to solve:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=5x-120 ALIGN=MIDDLE  ALT=\"3x=5x-120\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-5x=5x-120-5x ALIGN=MIDDLE  ALT=\"3x-5x=5x-120-5x\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x=-120 ALIGN=MIDDLE  ALT=\"-2x=-120\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%2F%28-2%29=-120%2F%28-2%29 ALIGN=MIDDLE  ALT=\"-2x%2F%28-2%29=-120%2F%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=60 ALIGN=MIDDLE  ALT=\"x=60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "With the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can find the total number of workers:<BR>\n" );
document.write( "Total number of workers = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%288%2F3%29=60%288%2F3%29=highlight%28160%29 ALIGN=MIDDLE  ALT=\"x%288%2F3%29=60%288%2F3%29=highlight%28160%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );