document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=709190>Question 709190</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a group of students are on sightseeing tour.the total fare is 120$ and is shared equally among the students. if 2 more students join the tour , each will now pay 2$ less. find the original number of students in the group. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #436442 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=436442\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a group of students are on sightseeing tour.<BR>\n" );
document.write( "the total fare is 120$ and is shared equally among the students.<BR>\n" );
document.write( " if 2 more students join the tour , each will now pay 2$ less.<BR>\n" );
document.write( " find the original number of students in the group.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let n = original number of students<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(n+2) = two more students<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2Fn ALIGN=MIDDLE  ALT=\"120%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2F%28%28n%2B2%29%29 ALIGN=MIDDLE  ALT=\"120%2F%28%28n%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<BR>\n" );
document.write( "multiply n(n+2)<BR>\n" );
document.write( "120(n+2) - 120n = 2n(n+2)<BR>\n" );
document.write( "120n + 240 - 120n = 2n^2 + 4n<BR>\n" );
document.write( "a quadratic equation<BR>\n" );
document.write( "0 = 2n^2 + 4n - 240<BR>\n" );
document.write( "simplifies to<BR>\n" );
document.write( "n^2 + 2n - 120<BR>\n" );
document.write( "Factors to <BR>\n" );
document.write( "(n+12)(n-10) = 0<BR>\n" );
document.write( "The positive solution<BR>\n" );
document.write( "n = 10 is the original number of students<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "You can check this yourself<BR>\n" );
document.write( "120/10 - 120/12 </SPAN>\n" );
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