document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=180262>Question 180262</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The social club charters a plane at a cost of $34848 to take a group of people to Atlanta. At the last minute 11 people from the group decide not to go. This raises the transportation cost per person by $24. How many people were originally intended to take the trip? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135118 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=135118\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the number of people chartered originally<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34848%2Fn ALIGN=MIDDLE  ALT=\"34848%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" > = cost per person originally<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34848%2Fn+%2B+24 ALIGN=MIDDLE  ALT=\"34848%2Fn+%2B+24\"   DISABLED_style= \"max-width:90%; height:auto;\" > = cost per person after 11 people cancel<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34848%2F%28n+-+11%29+=+34848%2Fn+%2B+24 ALIGN=MIDDLE  ALT=\"34848%2F%28n+-+11%29+=+34848%2Fn+%2B+24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2A%28n+-+11%29 ALIGN=MIDDLE  ALT=\"n%2A%28n+-+11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34848n++=+34848%2A%28n+-+11%29+%2B+24%2An%2A%28n+-+11%29 ALIGN=MIDDLE  ALT=\"34848n++=+34848%2A%28n+-+11%29+%2B+24%2An%2A%28n+-+11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34848n++=+34848n+-+383328+%2B+24n%5E2+-+264n%29 ALIGN=MIDDLE  ALT=\"34848n++=+34848n+-+383328+%2B+24n%5E2+-+264n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24n%5E2+-+264n+-+383328+=+0 ALIGN=MIDDLE  ALT=\"24n%5E2+-+264n+-+383328+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E2+-+11n+-+15972+=+0 ALIGN=MIDDLE  ALT=\"n%5E2+-+11n+-+15972+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"n+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+1 ALIGN=MIDDLE  ALT=\"a+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+-11 ALIGN=MIDDLE  ALT=\"b+=+-11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+-15972 ALIGN=MIDDLE  ALT=\"c+=+-15972\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+%28-%28-11%29+%2B-+sqrt%28+%28-11%29%5E2-4%2A1%2A%28-15972%29+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"n+=+%28-%28-11%29+%2B-+sqrt%28+%28-11%29%5E2-4%2A1%2A%28-15972%29+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+%2811+%2B-+sqrt%28121+%2B+63888+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"n+=+%2811+%2B-+sqrt%28121+%2B+63888+%29%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+%2811+%2B-+sqrt%2864009+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"n+=+%2811+%2B-+sqrt%2864009+%29%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+%2811+%2B-+253%29+%2F+2+ ALIGN=MIDDLE  ALT=\"n+=+%2811+%2B-+253%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+132 ALIGN=MIDDLE  ALT=\"n+=+132\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The other solution for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > is negative & can't be used<BR>\n" );
document.write( "132 people originally intended to take the trip<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34848%2F%28n+-+11%29+=+34848%2Fn+%2B+24 ALIGN=MIDDLE  ALT=\"34848%2F%28n+-+11%29+=+34848%2Fn+%2B+24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34848%2F%28132+-+11%29+=+34848%2F132+%2B+24 ALIGN=MIDDLE  ALT=\"34848%2F%28132+-+11%29+=+34848%2F132+%2B+24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34848%2F121+=+34848%2F132+%2B+24 ALIGN=MIDDLE  ALT=\"34848%2F121+=+34848%2F132+%2B+24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=288+=+264+%2B+24 ALIGN=MIDDLE  ALT=\"288+=+264+%2B+24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=288+=+288 ALIGN=MIDDLE  ALT=\"288+=+288\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );