document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1014046>Question 1014046</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "in 2002 the ratio of male teachers to female teachers was 4:5 in 2004 there were 2400 new teachers and the ratio of male to female became 8:9.how many teachers were there in 2002.\r<BR>\n" );
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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 #630389 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=630389\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The ratio in 2002 was 4/5 or 4x/5x.<BR>\n" );
document.write( "Assuming that the 2400 new teachers were half women and half men, we can write<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%2B1200%29%2F%285x%2B1200%29+=+8%2F9 ALIGN=MIDDLE  ALT=\"%284x%2B1200%29%2F%285x%2B1200%29+=+8%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross-multiplying we get<BR>\n" );
document.write( "9(4x+1200) = 8(5x+1200)<BR>\n" );
document.write( "36x + 10800 = 40x + 9600<BR>\n" );
document.write( "1200 = 4x<BR>\n" );
document.write( "x = 300<BR>\n" );
document.write( "which means that originally there were<BR>\n" );
document.write( "4(300) = 1200 male teachers and<BR>\n" );
document.write( "5(300) = 1500 female teachers...<BR>\n" );
document.write( "2700 total teachers in 2002...<BR>\n" );
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