document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=827989>Question 827989</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello. I am stumped as to even beginning this question! All I am very sure of is that my answer cannot be any greater than 64.\r<BR>\n" );
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document.write( "\"Eight girls get off a school bus that has a seating capacity of 64 children. When they leave, the ratio of girls to boys becomes 3:4. When 5 boys get on the bus, the ratio of girls to boys becomes 7:11. How many students were initially on the bus?\" </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #499090 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=499090\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"Eight girls get off a school bus that has a seating capacity of 64 children.<BR>\n" );
document.write( " When they leave, the ratio of girls to boys becomes 3:4.<BR>\n" );
document.write( " When 5 boys get on the bus, the ratio of girls to boys becomes 7:11.<BR>\n" );
document.write( " How many students were initially on the bus?\"<BR>\n" );
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document.write( "A lot of steps here, but each one is not too hard to understand, if you take some time to follow them. <BR>\n" );
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document.write( "Let g = number of girls initially\<BR>\n" );
document.write( "let b = number of boys initially<BR>\n" );
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document.write( "\"\"Eight girls get off a school bus that has a seating capacity of 64 children.<BR>\n" );
document.write( " When they leave, the ratio of girls to boys becomes 3:4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g-8%29%2Fb ALIGN=MIDDLE  ALT=\"%28g-8%29%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "3b = 4(g-8)<BR>\n" );
document.write( "3b = 4g - 32<BR>\n" );
document.write( "3b - 4g = -32, use this form to use elimination<BR>\n" );
document.write( "\" When 5 boys get on the bus, the ratio of girls to boys becomes 7:11.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g-8%29%2F%28b%2B5%29 ALIGN=MIDDLE  ALT=\"%28g-8%29%2F%28b%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F11 ALIGN=MIDDLE  ALT=\"7%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "7(b+5) = 11(g-8)<BR>\n" );
document.write( "7b + 35 = 11g - 88<BR>\n" );
document.write( "7b = 11g - 88 - 35<BR>\n" );
document.write( "7b = 11g - 123<BR>\n" );
document.write( "7b - 11g = -123<BR>\n" );
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document.write( "Elimination with these two equations<BR>\n" );
document.write( "3b - 4g = -32<BR>\n" );
document.write( "7b - 11g = -123<BR>\n" );
document.write( "Multiply the 1st equation by 7, multiply the 2nd equation by 3<BR>\n" );
document.write( "21b - 28g = -224<BR>\n" );
document.write( "21b - 33g = -369<BR>\n" );
document.write( "---------------------subtraction eliminates b, find g<BR>\n" );
document.write( "5g = +145<BR>\n" );
document.write( "g = 145/5<BR>\n" );
document.write( "g = 29 girls initially<BR>\n" );
document.write( "find the boys using 3b = 4g - 32<BR>\n" );
document.write( "3b = 4(29) - 32<BR>\n" );
document.write( "3b = 84<BR>\n" );
document.write( "b = 84/3<BR>\n" );
document.write( "b = 28 boys<BR>\n" );
document.write( " How many students were initially on the bus?\"<BR>\n" );
document.write( "29 + 28 = 57 students<BR>\n" );
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document.write( "You can confirm this by using these values to find the ratio's given\r<BR>\n" );
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document.write( " </SPAN>\n" );
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