document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186006>Question 1186006</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The rent of a condo unit was P1,200.00 for one night, to be shared equally by a group of friends, who will be having their get-together in the condo unit. At the last minute, four people decided not to go to the party. thus raising the cost to each girl by P400.00. How many girls attended the get-together?\r<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 #816875 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=816875\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The rent of a condo unit was P1,200.00 for one night, to be shared equally by a group of friends, who will be having their get-together in the condo unit.<BR>\n" );
document.write( " At the last minute, four people decided not to go to the party. thus raising the cost to each girl by P400.00.<BR>\n" );
document.write( " How many girls attended the get-together?<BR>\n" );
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document.write( "let g = original no. of girls<BR>\n" );
document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1200%2Fg ALIGN=MIDDLE  ALT=\"1200%2Fg\"   DISABLED_style= \"max-width:90%; height:auto;\" > = original cost for each girl<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1200%2F%28g-4%29 ALIGN=MIDDLE  ALT=\"1200%2F%28g-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the actual cost when 4 girls opted out<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1200%2F%28g-4%29 ALIGN=MIDDLE  ALT=\"1200%2F%28g-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1200%2Fg ALIGN=MIDDLE  ALT=\"1200%2Fg\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 400<BR>\n" );
document.write( "multiply eq by g(g-4), cancel the denominators<BR>\n" );
document.write( "1200g - 1200(g-4) = 400g(g-4)<BR>\n" );
document.write( "simplify, divide eq by 400<BR>\n" );
document.write( "3g - 3(g-4) = g(g-4)<BR>\n" );
document.write( "3g - 3g + 12 = g^2 - 4g<BR>\n" );
document.write( "arrange as a quadratic eq<BR>\n" );
document.write( "g^2 - 4g - 12 = 0<BR>\n" );
document.write( "factors to<BR>\n" );
document.write( "(g-6)(g+2) = 0<BR>\n" );
document.write( "positive solution<BR>\n" );
document.write( "g = 6 girls originally<BR>\n" );
document.write( "then<BR>\n" );
document.write( "6-4 = 2 girls actually attended<BR>\n" );
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document.write( "Check, <BR>\n" );
document.write( "1200/6 = 200<BR>\n" );
document.write( "1200/2 = 600<BR>\n" );
document.write( "a P400 difference </SPAN>\n" );
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