document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=993587>Question 993587</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The population of a town is 9500. If the males increased by 8% and the females increased by 12%, the population will be<BR>\n" );
document.write( "10420. Find the number of females in the town. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #612880 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=612880\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let M be males now and let F be females now.<BR>\n" );
document.write( "Thus<BR>\n" );
document.write( "M + F = 9500<BR>\n" );
document.write( "After the increase, we have<BR>\n" );
document.write( "1.08M + 1.12F = 10420<BR>\n" );
document.write( "Since we want females, let's solve the first equation for M and substitute it into the second equation.<BR>\n" );
document.write( "M = 9500 - F<BR>\n" );
document.write( "1.08(9500 - F) + 1.12F = 10420<BR>\n" );
document.write( "10260 - 1.08F + 1.12F = 10420<BR>\n" );
document.write( "Simplifying, we get<BR>\n" );
document.write( ".04F = 160<BR>\n" );
document.write( "and<BR>\n" );
document.write( "F = 4000 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );