document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1129740>Question 1129740</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A teacher has decided to take her fifth grade class to a play. The manager of the theater agreed to discount the regular &#8203;$39 price of the ticket by &#8203;$0.10 for each ticket sold. The cost of the&#8203; bus, &#8203;$160&#8203;, will be split equally among each of the students. How many students must attend to keep the cost per student at or below &#8203;$39&#8203;?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #746327 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=746327\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x students<BR>\n" );
document.write( "cost per ticket is 39-0.1x<BR>\n" );
document.write( "cost of everything is 160 + x(39-0.1x)<BR>\n" );
document.write( "average cost is (160+39x-0.1x^2)/x<BR>\n" );
document.write( "that has to be <=39<BR>\n" );
document.write( "multiply through by x<BR>\n" );
document.write( "160+39x-0.1x^2-39x<=0<BR>\n" );
document.write( "x^2>=1600<BR>\n" );
document.write( "x>=40<BR>\n" );
document.write( "For 40 students, cost is $35.00 per student or $1400 for 40 students and with bus $1560<BR>\n" );
document.write( "The average cost is $39.\r<BR>\n" );
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document.write( "40.<BR>\n" );
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