document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197952>Question 1197952</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "3/4 of the boys are equal to 1/3 of the girls. What fraction of the pupils are boys. My son son 9/13 textbook solution  is 4/13. Who is correct. <BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #831427 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=831427\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "b = number of boys<BR>\n" );
document.write( "g = number of girls<BR>\n" );
document.write( "b+g = number of pupils\r<BR>\n" );
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document.write( "3/4 of the [number of] boys = 1/3 of the [number of] girls<BR>\n" );
document.write( "(3/4)b = (1/3)g<BR>\n" );
document.write( "12*(3/4)b = 12*(1/3)g<BR>\n" );
document.write( "9b = 4g<BR>\n" );
document.write( "9b/g = 4<BR>\n" );
document.write( "b/g = 4/9<BR>\n" );
document.write( "g/b = 9/4\r<BR>\n" );
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document.write( "k = fraction of the pupils that are boys<BR>\n" );
document.write( "(number of boys)/(number of pupils) = k<BR>\n" );
document.write( "b/(b+g) = k<BR>\n" );
document.write( "(b+g)/b = 1/k<BR>\n" );
document.write( "b/b + g/b = 1/k<BR>\n" );
document.write( "1 + g/b = 1/k<BR>\n" );
document.write( "1 + 9/4 = 1/k  .... plug in g/b = 9/4<BR>\n" );
document.write( "4/4 + 9/4 = 1/k<BR>\n" );
document.write( "(4+9)/4 = 1/k<BR>\n" );
document.write( "13/4 = 1/k<BR>\n" );
document.write( "4/13 = k<BR>\n" );
document.write( "k = 4/13\r<BR>\n" );
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document.write( "Answer: <font color=red>4/13</font> of the pupils are boys.\r<BR>\n" );
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document.write( "Side note: 9/13 is the fraction of girls (since 4/13+9/13 = 1)<BR>\n" );
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