document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=72138>Question 72138</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh>Algebra and Trigonometry: Structure and Method </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Members of the Ski Club contributed equally to obtain $1800 for a holiday trip.  When 6 members found that they could not go, their contributions were refunded and each remaining member then had to pay $10 more to raise the $1800.  How many went on 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 #51589 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=51589\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Members of the Ski Club contributed equally to obtain $1800 for a holiday trip. When 6 members found that they could not go, their contributions were refunded and each remaining member then had to pay $10 more to raise the $1800. How many went on the trip?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = number of members who went on the trip<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(x+6) = number of members who planned to go<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Original price/person: 1800/(x+6)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Actual price/person: 1800/x<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Actual price - planned price = 10<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1800%2Fx+-+1800%2F%28x%2B6%29 ALIGN=MIDDLE  ALT=\"1800%2Fx+-+1800%2F%28x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 10<BR>\n" );
document.write( ":<BR>\n" );
document.write( "multiply equation by x(x+6) to get rid of the denominators<BR>\n" );
document.write( "1800(x+6) - 1800x = 10(x(x+6))<BR>\n" );
document.write( ":<BR>\n" );
document.write( "1800x + 10800 - 1800x = 10x^2 + 60x<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A quadratic equation:<BR>\n" );
document.write( "10x^2 + 60x - 10800 = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Simplify; divide equation by 10:<BR>\n" );
document.write( "x^2 + 6x - 1080 = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Factor this to:<BR>\n" );
document.write( "(x+36)(x-30) = 0<BR>\n" );
document.write( "x = -36<BR>\n" );
document.write( "and<BR>\n" );
document.write( "x = +30 is the our solution<BR>\n" );
document.write( ":<BR>\n" );
document.write( "30 people actually went on the trip<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check using cost per person<BR>\n" );
document.write( "Planned: 1800/36 = $50 per person<BR>\n" );
document.write( "Actual: 1800/30 = $60 per person </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );