document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=247114>Question 247114</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There is a group of boys and girls standing in line at the bus stop. 15 girls get on the first bus to arrive; now there are 2 boys for each girl still at the bus stop. On the second bus, 45 boys get on; now, at the bus stop, there are 5 girls for each boy. What was the original number of girls ?\r<BR>\n" );
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document.write( "(A)40 (B) 43 (C) 29 (D) 50 (E) none of these<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 #180423 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=180423\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There is a group of boys and girls standing in line at the bus stop.<BR>\n" );
document.write( "Let g = no. of girls<BR>\n" );
document.write( "Let b = no. of boys<BR>\n" );
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document.write( " 15 girls get on the first bus to arrive; now there are 2 boys for each girl still at the bus stop.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2F%28g-15%29 ALIGN=MIDDLE  ALT=\"b%2F%28g-15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<BR>\n" );
document.write( "b = 2(g-15)<BR>\n" );
document.write( "b = 2g - 30<BR>\n" );
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document.write( "On the second bus, 45 boys get on; now, at the bus stop, there are 5 girls for each boy.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b-45%29%2F%28g-15%29 ALIGN=MIDDLE  ALT=\"%28b-45%29%2F%28g-15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F5 ALIGN=MIDDLE  ALT=\"1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "5(b-45) = g - 15<BR>\n" );
document.write( "5b - 225 = g - 15<BR>\n" );
document.write( "5b = g - 15 + 225<BR>\n" );
document.write( "5b = g + 210<BR>\n" );
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document.write( "Replace b with (2g-30) from the 1st equation<BR>\n" );
document.write( "5(2g - 30) = g + 210<BR>\n" );
document.write( "10g - 150 = g + 210<BR>\n" );
document.write( "10g - g = 210 + 150<BR>\n" );
document.write( "9g = 360<BR>\n" );
document.write( "g = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%2F9 ALIGN=MIDDLE  ALT=\"360%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "g = 40 girls originally at the bus stop<BR>\n" );
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document.write( "To check solution find the no. of boys<BR>\n" );
document.write( "b = 2(40) - 30<BR>\n" );
document.write( "b = 50 boys<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2850+-+45%29%2F%2840-15%29 ALIGN=MIDDLE  ALT=\"%2850+-+45%29%2F%2840-15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F25 ALIGN=MIDDLE  ALT=\"5%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F5 ALIGN=MIDDLE  ALT=\"1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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