document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=598841>Question 598841</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a group of students decided to purchase a tv ranging from 170 to 195 $. but at the last moment, two students backed out of the decision so that the remaining students had to pay 10 $. more than they had planned. find the cost of the tv if the amount has been shared equally among the students. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #378738 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=378738\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a group of students decided to purchase a tv ranging from 170 to 195 $.<BR>\n" );
document.write( " but at the last moment, two students backed out of the decision so that the remaining students had to pay 10 $. more than they had planned.<BR>\n" );
document.write( " find the cost of the tv if the amount has been shared equally among the students.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let c = cost of the TV<BR>\n" );
document.write( "Let s = original number of students<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s-2) = actual number of students that paid<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2F%28%28s-2%29%29 ALIGN=MIDDLE  ALT=\"c%2F%28%28s-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2Fs ALIGN=MIDDLE  ALT=\"c%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 10<BR>\n" );
document.write( "multiply by s(s-2), clear the denominators, results:<BR>\n" );
document.write( "cs - c(s-2) = 10s(s-2)<BR>\n" );
document.write( "cs - cs + 2c = 10s^2 - 20s<BR>\n" );
document.write( "2c = 10s^2 - 20s<BR>\n" );
document.write( "divide eq by 2<BR>\n" );
document.write( "c = 5s^2 - 10s<BR>\n" );
document.write( "We know that c has to be between 170 and 195<BR>\n" );
document.write( "A little substitution for s reveals that only value for c is $175, when s=7 (original number students)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this actual number students are 5<BR>\n" );
document.write( "175/5 = $35<BR>\n" );
document.write( "175/7 = $25 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );