document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=279669>Question 279669</A>: <I><SPAN STYLE=\"word-break: break-all;\"> From a group of boys and girls, 15 girls leave. There are then left two boys for each girl. After 45 boys leave, there are then 5 girls for each boy. The number of girls in the beginning was:\r<BR>\n" );
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document.write( "(A) 40 (B) 43 (C) 29 (D) 50 (E) 60 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #203337 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=203337\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of boys in the beginning<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g ALIGN=MIDDLE  ALT=\"g\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of girls in the beginning<BR>\n" );
document.write( "15 girls leave, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+%2B+%28g+-+15%29 ALIGN=MIDDLE  ALT=\"b+%2B+%28g+-+15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the group<BR>\n" );
document.write( "There are 2 boys for each girl, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+2%2A%28g+-+15%29 ALIGN=MIDDLE  ALT=\"b+=+2%2A%28g+-+15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "45 boys leave, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b+-+45%29+%2B+%28g+-+15%29 ALIGN=MIDDLE  ALT=\"%28b+-+45%29+%2B+%28g+-+15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the group<BR>\n" );
document.write( "Now there are 5 girls for each boy, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g+-+15+=+5%2A%28b+-+45%29 ALIGN=MIDDLE  ALT=\"g+-+15+=+5%2A%28b+-+45%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g+-+15+=+5b+-+225 ALIGN=MIDDLE  ALT=\"g+-+15+=+5b+-+225\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5b+=+g+%2B+210 ALIGN=MIDDLE  ALT=\"5b+=+g+%2B+210\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+%28g+%2B+210%29%2F5 ALIGN=MIDDLE  ALT=\"b+=+%28g+%2B+210%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I'll substitute this into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+2%2A%28g+-+15%29 ALIGN=MIDDLE  ALT=\"b+=+2%2A%28g+-+15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g+%2B+210%29%2F5+=+2g+-+30 ALIGN=MIDDLE  ALT=\"%28g+%2B+210%29%2F5+=+2g+-+30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g+%2B+210+=+10g+-+150 ALIGN=MIDDLE  ALT=\"g+%2B+210+=+10g+-+150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9g+=+360 ALIGN=MIDDLE  ALT=\"9g+=+360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g+=+40 ALIGN=MIDDLE  ALT=\"g+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There were 40 girls in the beginning- (A)<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+2%2A%28g+-+15%29 ALIGN=MIDDLE  ALT=\"b+=+2%2A%28g+-+15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+2%2A%2840+-+15%29 ALIGN=MIDDLE  ALT=\"b+=+2%2A%2840+-+15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+2%2A25 ALIGN=MIDDLE  ALT=\"b+=+2%2A25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+50 ALIGN=MIDDLE  ALT=\"b+=+50\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g+=+40 ALIGN=MIDDLE  ALT=\"g+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the original group<BR>\n" );
document.write( "15 girls leave, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+50 ALIGN=MIDDLE  ALT=\"b+=+50\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g+=+25 ALIGN=MIDDLE  ALT=\"g+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are 2 boys for each girl- that checks<BR>\n" );
document.write( "45 boys leave, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+5 ALIGN=MIDDLE  ALT=\"b+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g+=+25 ALIGN=MIDDLE  ALT=\"g+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are 5 girls for each boy- OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );