document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=648711>Question 648711</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a group of boys and girls are playing.when 15 boys leave,their remains 2 girls for each boy. then when 45 girls leave their remains 5 boys for each girl.how many boys were there in original group? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #406777 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=406777\">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 original group<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 original group<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "When 15 boys leave, you have <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+-+15+ ALIGN=MIDDLE  ALT=\"+b+-+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" > boys and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+g+ ALIGN=MIDDLE  ALT=\"+g+\"   DISABLED_style= \"max-width:90%; height:auto;\" > girls, and <BR>\n" );
document.write( "you are given that<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+g+=+2%2A%28+b+-+15+%29+ ALIGN=MIDDLE  ALT=\"+g+=+2%2A%28+b+-+15+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "When 45 girls leave, you have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+-+15+ ALIGN=MIDDLE  ALT=\"+b+-+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" > boys<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+g+-+45+ ALIGN=MIDDLE  ALT=\"+g+-+45+\"   DISABLED_style= \"max-width:90%; height:auto;\" > girls<BR>\n" );
document.write( "You are given that<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+-+15+=+5%2A%28+g+-+45+%29+ ALIGN=MIDDLE  ALT=\"+b+-+15+=+5%2A%28+g+-+45+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+g+=+2b+-+30+ ALIGN=MIDDLE  ALT=\"+g+=+2b+-+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2b+-+g+=+30+ ALIGN=MIDDLE  ALT=\"+2b+-+g+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+-+15+=+5g+-+225+ ALIGN=MIDDLE  ALT=\"+b+-+15+=+5g+-+225+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-b+%2B+5g+=+210+ ALIGN=MIDDLE  ALT=\"+-b+%2B+5g+=+210+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Multiply both sides of (1) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+ ALIGN=MIDDLE  ALT=\"+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and add the equations<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10b+-+5g+=+150+ ALIGN=MIDDLE  ALT=\"+10b+-+5g+=+150+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-b+%2B+5g+=+210+ ALIGN=MIDDLE  ALT=\"+-b+%2B+5g+=+210+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9b+=+360+ ALIGN=MIDDLE  ALT=\"+9b+=+360+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+40+ ALIGN=MIDDLE  ALT=\"+b+=+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There were 40 boys in the original group<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+g+=+2b+-+30+ ALIGN=MIDDLE  ALT=\"+g+=+2b+-+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+g+=+2%2A40+-+30+ ALIGN=MIDDLE  ALT=\"+g+=+2%2A40+-+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+g+=+80+-+30+ ALIGN=MIDDLE  ALT=\"+g+=+80+-+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+g+=+50+ ALIGN=MIDDLE  ALT=\"+g+=+50+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+-+15+=+5%2A%28+g+-+45+%29+ ALIGN=MIDDLE  ALT=\"+b+-+15+=+5%2A%28+g+-+45+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+40+-+15+=+5%2A%28+g+-+45+%29+ ALIGN=MIDDLE  ALT=\"+40+-+15+=+5%2A%28+g+-+45+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+25+=+5g+-+225+ ALIGN=MIDDLE  ALT=\"+25+=+5g+-+225+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5g+=+250+ ALIGN=MIDDLE  ALT=\"+5g+=+250+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+g+=+50+ ALIGN=MIDDLE  ALT=\"+g+=+50+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );