document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=264699>Question 264699</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, please help me with this word problem I have no idea how to do it or where to get started.\r<BR>\n" );
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document.write( "The directions say to solve using two variables. All I know is that you have to define the variables and show work.\r<BR>\n" );
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document.write( "The word problem:<BR>\n" );
document.write( "Matrimburg had 8,000 residents. Of them, 1/6 of the females married 1/4 of the males. If no person in Matrimburg married more than once, how many of the town's residents were female?\r<BR>\n" );
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document.write( "please help, thanks for your time!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #194836 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=194836\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In order for 1/6 of the female residents<BR>\n" );
document.write( "to marry 1/4 of the males, then 1/6 of the<BR>\n" );
document.write( "female residents has to equal 1/4 of the males<BR>\n" );
document.write( "because marriage is a one-to-one match.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F6%29%2Af+=+%281%2F4%29%2Am ALIGN=MIDDLE  ALT=\"%281%2F6%29%2Af+=+%281%2F4%29%2Am\"   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=12 ALIGN=MIDDLE  ALT=\"12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2f+=+3m ALIGN=MIDDLE  ALT=\"2f+=+3m\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Also, I am given:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f+%2B+m+=+8000 ALIGN=MIDDLE  ALT=\"f+%2B+m+=+8000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I can say this because all the residents <BR>\n" );
document.write( "are either male or female<BR>\n" );
document.write( "From (2),<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+8000+-+f ALIGN=MIDDLE  ALT=\"m+=+8000+-+f\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute this in (1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2f+=+3%2A%288000+-+f%29 ALIGN=MIDDLE  ALT=\"2f+=+3%2A%288000+-+f%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2f+=+24000+-+3f ALIGN=MIDDLE  ALT=\"2f+=+24000+-+3f\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5f+=+24000 ALIGN=MIDDLE  ALT=\"5f+=+24000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f+=+4800 ALIGN=MIDDLE  ALT=\"f+=+4800\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, from (2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4800+%2B+m+=+8000 ALIGN=MIDDLE  ALT=\"4800+%2B+m+=+8000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+3200 ALIGN=MIDDLE  ALT=\"m+=+3200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are 4800 female residents and 3200 male residents<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F6%29%2Af+=+%281%2F4%29%2Am ALIGN=MIDDLE  ALT=\"%281%2F6%29%2Af+=+%281%2F4%29%2Am\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F6%29%2A4800+=+%281%2F4%29%2A3200 ALIGN=MIDDLE  ALT=\"%281%2F6%29%2A4800+=+%281%2F4%29%2A3200\"   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=12%2F100 ALIGN=MIDDLE  ALT=\"12%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A48+=+3%2A32 ALIGN=MIDDLE  ALT=\"2%2A48+=+3%2A32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=96+=+96 ALIGN=MIDDLE  ALT=\"96+=+96\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
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