document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180192>Question 1180192</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A class consists of equal numbers of boys and girls. Two-fifths of the class are 13 years<BR>\n" );
document.write( "old and the rest are 14 years old. Three-quarters of the children aged 13 are girls. What<BR>\n" );
document.write( "fraction of the total class are 14-year-old boys? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #809806 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=809806\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x is total number of children<BR>\n" );
document.write( "(2/5)x are 13, and 3/4 of them or (3/10)x altogether are girls<BR>\n" );
document.write( "(3/5)x are 14, and we know that (2/10)x or (1/5)x of them are girls to make them 50% of all the students. 3/5*x=2/10 or 1/5. That means 1/3 of the 14 year-olds are girls (because (3/5)(1/3)=1/5, so 2/3 of the 14 year-olds are boys.\r<BR>\n" );
document.write( "\n" );
document.write( "Can check assuming 120 in class, 60 boys and 60 girls<BR>\n" );
document.write( "48 are 13 and 72 are 14<BR>\n" );
document.write( "36 are girls 13, so 24 girls have to be 14.<BR>\n" );
document.write( "24 is 1/3 of 72, so the boys are 2/3 of the 14 year-olds. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );