document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=449535>Question 449535</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The coach and the players of the football team shared the expense of a bus trip to a professional game. When 5 players were unable to go, each person had to pay an additional $1.50 to cover the cost of $540. How many people made 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 #309242 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=309242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The coach and the players of the football team shared the expense of a bus trip to a professional game.<BR>\n" );
document.write( " When 5 players were unable to go, each person had to pay an additional $1.50 to cover the cost of $540.<BR>\n" );
document.write( " How many people made the trip?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = no. which actually made the trip<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+5) = no. planned to make the trip<BR>\n" );
document.write( "Now we can say:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=540%2Fx ALIGN=MIDDLE  ALT=\"540%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = actual cost per person<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=540%2F%28%28x%2B5%29%29 ALIGN=MIDDLE  ALT=\"540%2F%28%28x%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = planned cost per person<BR>\n" );
document.write( ":<BR>\n" );
document.write( "actual cost - planned cost = $1.50<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=540%2Fx ALIGN=MIDDLE  ALT=\"540%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=540%2F%28%28x%2B5%29%29 ALIGN=MIDDLE  ALT=\"540%2F%28%28x%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.5<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Multiply by x(x+5)<BR>\n" );
document.write( "x(x+5)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=540%2Fx ALIGN=MIDDLE  ALT=\"540%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > - x(x+5)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=540%2F%28%28x%2B5%29%29 ALIGN=MIDDLE  ALT=\"540%2F%28%28x%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.5x(x+5)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Cancel the denominators, resulting in:<BR>\n" );
document.write( "540(x+5) - 540x = 1.5x^2 + 7.5x<BR>\n" );
document.write( "540x + 2700 - 540x = 1.5x^2 + 7.5x<BR>\n" );
document.write( ":<BR>\n" );
document.write( "540x's cancel<BR>\n" );
document.write( "2700  = 1.5x^2 + 7.5x<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "1.5x^2 + 7.5x - 2700 = 0<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Simplify, divide thru by 1.5<BR>\n" );
document.write( "x^2 + 5x - 1800 = 0<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(x+45)(x-40) = 0<BR>\n" );
document.write( "the positive solution is all we want here<BR>\n" );
document.write( "x = 40 persons actually went<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this<BR>\n" );
document.write( "540/40 - 540/45 =<BR>\n" );
document.write( "13.50 - 12.00 = $1.50 difference<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );