document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=42399>Question 42399</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ifvthe ratio of fast readers to slow readers was 9 to 5, and there were 2,100 readers in all, how many were fast readers? (show your work) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #27546 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=27546\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's call them f and s.<BR>\n" );
document.write( "Thus the proportion we have is<BR>\n" );
document.write( "f/s = 9/5<BR>\n" );
document.write( "and cross-multiplying we have<BR>\n" );
document.write( "5f = 9s<BR>\n" );
document.write( "Also we know that f + s = 2100, or<BR>\n" );
document.write( "s = 2100 - f<BR>\n" );
document.write( "So we substitute this into the above and get<BR>\n" );
document.write( "5f = 9(2100 - f)<BR>\n" );
document.write( "5f = 18900 - 9f<BR>\n" );
document.write( "14f = 18900<BR>\n" );
document.write( "f = 1350 and<BR>\n" );
document.write( "s = 750 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );