document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=344366>Question 344366</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A civic club charters a bus for one day at a cost of $575. When 2 more people join the group each persons cost decreases by $2. How many people were in the original group.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Thought you might solve this by 575/4 or (575-2)4 but it didn't seem to work  please help thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #246385 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=246385\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Where's the 4 come from??<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Assume there are X people going originally.<BR>\n" );
document.write( "Then the cost per person is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B1%5D=575%2FX ALIGN=MIDDLE  ALT=\"C%5B1%5D=575%2FX\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When you add the 2 people you now have X+2 people and the cost per person becomes,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B2%5D=575%2F%28X%2B2%29 ALIGN=MIDDLE  ALT=\"C%5B2%5D=575%2F%28X%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And you know that,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B2%5D=C%5B1%5D-2 ALIGN=MIDDLE  ALT=\"C%5B2%5D=C%5B1%5D-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now substitute into this equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=575%2F%28X%2B2%29=575%2FX-2 ALIGN=MIDDLE  ALT=\"575%2F%28X%2B2%29=575%2FX-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by the product of the denominators <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%28X%2B2%29 ALIGN=MIDDLE  ALT=\"X%28X%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=575X=575%28X%2B2%29-2X%28X%2B2%29 ALIGN=MIDDLE  ALT=\"575X=575%28X%2B2%29-2X%28X%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=575X=575X%2B1150-2X%5E2-4X ALIGN=MIDDLE  ALT=\"575X=575X%2B1150-2X%5E2-4X\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2X%5E2%2B4X-1150=0 ALIGN=MIDDLE  ALT=\"2X%5E2%2B4X-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=X%5E2%2B2X-575=0 ALIGN=MIDDLE  ALT=\"X%5E2%2B2X-575=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This equation is factorable.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28X-23%29%28X%2B25%29=0 ALIGN=MIDDLE  ALT=\"%28X-23%29%28X%2B25%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Two solutions but only the positive solution makes sense here.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X-23=0 ALIGN=MIDDLE  ALT=\"X-23=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X=23 ALIGN=MIDDLE  ALT=\"X=23\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X=23 ALIGN=MIDDLE  ALT=\"X=23\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=575%2F23=25 ALIGN=MIDDLE  ALT=\"C=575%2F23=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >dollars per person<BR>\n" );
document.write( "When <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X=25 ALIGN=MIDDLE  ALT=\"X=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=575%2F25=23 ALIGN=MIDDLE  ALT=\"C=575%2F25=23\"   DISABLED_style= \"max-width:90%; height:auto;\" >dollars per person, a $2 reduction. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );