document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=245582>Question 245582</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 70% of the girls in a class wanted to have a prom and 40% of the boys wanted a prom, is it possible that only 50% of the students in the class wanted a prom? Explain your answer.\r<BR>\n" );
document.write( "\n" );
document.write( "I am lost. Please help, thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #179367 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=179367\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If 70% of the girls <b><i>want</i></b> a prom and 40% of the boys <b><i>want</i></b> a prom, that means that 30% of the girls and 60% of the boys <b><i>don't want</i></b> a prom.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "In order for the vote to be split 50-50 across the student body the number of students that want the prom, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large .7g\ +\ .4b\"> must equal the number of students that don't want the prom, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large .3g\ +\ .6b\">, so:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ .7g\ +\ .4b\ =\ .3g\ +\ .6b\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Combining like terms:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ .4g\ =\ .2b\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 2g\ =\ b\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So as long as you have at least 10 girl students and the number of girl students is a multiple of 10 (so that you don't have a fractional part of a girl when you calculate 70% of them) and twice as many boys as you have girls, you will have exactly 50% of the students that want the prom and 50% that don't given 70% girls and 40% boys want the prom.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Try it:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "10 girls X 70% = 7, X 30% = 3\r<BR>\n" );
document.write( "\n" );
document.write( "20 boys X 40% = 8, X 60% = 12\r<BR>\n" );
document.write( "\n" );
document.write( "30 students X 50% = 15 and 8 + 7 = 15 and 3 + 12 = 15\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );