document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=314183>Question 314183</A>: <I><SPAN STYLE=\"word-break: break-all;\">   A group of students agreed that each would chip in the same amount of money to pay for a party that cost $100.00.  Then they found 5 more student interested in the party  and in sharing the cost.  This decreased the amount each had to pay by $1.00. How many students were involved in the party and how much did each student have to pay?   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #224632 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=224632\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A group of students agreed that each would chip in the same amount of money to pay for a party that cost $100.00.<BR>\n" );
document.write( " Then they found 5 more student interested in the party and in sharing the cost.<BR>\n" );
document.write( " This decreased the amount each had to pay by $1.00.<BR>\n" );
document.write( " How many students were involved in the party and how much did each student have to pay? <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = no. of students finally involved<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x-5) = no. of students before 5 more joined<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2Fx ALIGN=MIDDLE  ALT=\"100%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > = amt each had to pay<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Before = after + $1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F%28x-5%29 ALIGN=MIDDLE  ALT=\"100%2F%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2Fx ALIGN=MIDDLE  ALT=\"100%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 1<BR>\n" );
document.write( "multiply equation by x(x-5), results<BR>\n" );
document.write( "100x = 100(x-5) + x(x-5)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "100x = 100x - 500 + x^2 - 5x<BR>\n" );
document.write( "combine on the right<BR>\n" );
document.write( "0 = 100x - 100x + x^2 - 5x - 500<BR>\n" );
document.write( "a quadratic equation<BR>\n" );
document.write( "x^2 - 5x - 500 = 0<BR>\n" );
document.write( "Factors to:<BR>\n" );
document.write( "(x - 25)(x + 20) = 0<BR>\n" );
document.write( "positive solution<BR>\n" );
document.write( "x = 25 students finally involved<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Find the cost: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F25 ALIGN=MIDDLE  ALT=\"100%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" > = $4.00 per student<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution find the cost before<BR>\n" );
document.write( "100/20 = $5, one dollar more </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );