document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=944261>Question 944261</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A civic  club charters a bus for one day at a cost of $575. When two more people join the group, each person's cost decreases by $2. How many people were in the original group?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #575718 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=575718\">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 original number of people<BR>\n" );
document.write( "in the group<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+%2B+2+ ALIGN=MIDDLE  ALT=\"+n+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = The number when 2 people<BR>\n" );
document.write( "join the group<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+575%2Fn+ ALIGN=MIDDLE  ALT=\"+575%2Fn+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = original cost/person<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+575%2F%28+n+%2B+2+%29+=+575%2Fn+-+2+ ALIGN=MIDDLE  ALT=\"+575%2F%28+n+%2B+2+%29+=+575%2Fn+-+2+\"   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%28+n%2B2+%29+ ALIGN=MIDDLE  ALT=\"+n%2A%28+n%2B2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+575n+=+575%2A%28+n%2B2+%29+-+2n%2A%28+n%2B2+%29+ ALIGN=MIDDLE  ALT=\"+575n+=+575%2A%28+n%2B2+%29+-+2n%2A%28+n%2B2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+575n+=+575n+%2B+1150+-+2n%5E2+-+4n+ ALIGN=MIDDLE  ALT=\"+575n+=+575n+%2B+1150+-+2n%5E2+-+4n+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2n%5E2+%2B+4n+-+1150+=+0+ ALIGN=MIDDLE  ALT=\"+2n%5E2+%2B+4n+-+1150+=+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+%2B+2n+-+575+=+0+ ALIGN=MIDDLE  ALT=\"+n%5E2+%2B+2n+-+575+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the quadratic formula<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+=+2+ ALIGN=MIDDLE  ALT=\"+b+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+-575+ ALIGN=MIDDLE  ALT=\"+c+=+-575+\"   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+-2+%2B-+sqrt%28+2%5E2+-+4%2A1%2A%28-575%29+%29%29+%2F+%282%2A1%29+ ALIGN=MIDDLE  ALT=\"+n+=+%28+-2+%2B-+sqrt%28+2%5E2+-+4%2A1%2A%28-575%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+=+%28+-2+%2B-+sqrt%28+4+%2B+2300+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+n+=+%28+-2+%2B-+sqrt%28+4+%2B+2300+%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+=+%28+-2+%2B-+sqrt%28+2304+%29%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+n+=+%28+-2+%2B-+sqrt%28+2304+%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+=+%28+-2+%2B+47.96+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+n+=+%28+-2+%2B+47.96+%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+=+45.96%2F2+ ALIGN=MIDDLE  ALT=\"+n+=+45.96%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+22.98+ ALIGN=MIDDLE  ALT=\"+n+=+22.98+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "23 people were in the original group<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+575%2F24.98+=+575%2F22.98+-+2+ ALIGN=MIDDLE  ALT=\"+575%2F24.98+=+575%2F22.98+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+23.02+=+25.02+-+2+ ALIGN=MIDDLE  ALT=\"+23.02+=+25.02+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+23.02+=+23.02+ ALIGN=MIDDLE  ALT=\"+23.02+=+23.02+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "--------------------- <BR>\n" );
document.write( "Normally <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" > would be a whole number, so<BR>\n" );
document.write( "I don't know what happened. I think my equation<BR>\n" );
document.write( "is OK, so check my math\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );