document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=34418>Question 34418</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On the first day of school, the percentage of boys in a particular class is 60%. During the school year, six girls move away, and are replaced in the class by six boys; this makes the class roster 75% boys. Find the number of boys and girls in the class on the first day of school. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #20739 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=20739\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the number of students in the class be \"x\".<BR>\n" );
document.write( "Number of boys is 0.60x<BR>\n" );
document.write( "Number of girls is 0.40x<BR>\n" );
document.write( "Later when the 6 boys are added you have<BR>\n" );
document.write( "Number of boys is 0.60x+6<BR>\n" );
document.write( "Number of girls is 0.40x-6<BR>\n" );
document.write( "So the number of students overall has not changed.<BR>\n" );
document.write( "Therefore the following equation applies:<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "   original # of boys + 6 =  75% of the class<BR>\n" );
document.write( "   0.60x + 6 = 0.75x<BR>\n" );
document.write( "      6= 0.15x<BR>\n" );
document.write( "      x= 40   (Number of students in the class)<BR>\n" );
document.write( "    0.6x=24 (original number of boys)<BR>\n" );
document.write( "    0.4x=16 (original number of girls)<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );