document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1073801>Question 1073801</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve <BR>\n" );
document.write( "There are 1400 students in a school.  The teacher to student ratio is 1:35.  How many additional teachers are needed to reduce the ratio to 1:20?<BR>\n" );
document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #688585 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=688585\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 1400 students in a school. The teacher to student ratio is 1:35. How many additional teachers are needed to reduce the ratio to 1:20?<BR>\n" );
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document.write( "teachers:: x<BR>\n" );
document.write( "students:: 35x<BR>\n" );
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document.write( "Equation::<BR>\n" );
document.write( "x + 35x = 1400<BR>\n" );
document.write( "36x = 1400<BR>\n" );
document.write( "x = 39 when rounded up (teachers now)<BR>\n" );
document.write( "35x = 1400-39 = 1361 (students now)<BR>\n" );
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document.write( "New numbers::<BR>\n" );
document.write( "1/20 = (39+K)/1361<BR>\n" );
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document.write( "1361 = 20*39+20k<BR>\n" );
document.write( "20k = 481<BR>\n" );
document.write( "k = 24 (# of teachers to add)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );