document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=268715>Question 268715</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The members of a flying club plan to share<BR>\n" );
document.write( "equally the cost of a $200,000 airplane. The members<BR>\n" );
document.write( "want to find five more people to join the club so that the<BR>\n" );
document.write( "cost per person will decrease by $2000. How many members<BR>\n" );
document.write( "are currently in the club? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #197113 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=197113\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The members of a flying club plan to share equally the cost of a $200,000 airplane. <BR>\n" );
document.write( "The members want to find five more people to join the club so that the cost per person will decrease by $2000.<BR>\n" );
document.write( " How many members are currently in the club?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = no. of members currently<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let's do this in $1000's to avoid writing all these 0's; Plane cost 200, members want to save 2<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Present cost per member: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%2Fx ALIGN=MIDDLE  ALT=\"200%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cost with 5 more members: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%2F%28%28x%2B5%29%29 ALIGN=MIDDLE  ALT=\"200%2F%28%28x%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Present cost - cost with 5 more = 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%2Fx ALIGN=MIDDLE  ALT=\"200%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200%2F%28%28x%2B5%29%29 ALIGN=MIDDLE  ALT=\"200%2F%28%28x%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<BR>\n" );
document.write( "Multiply equation by x(x+5), results<BR>\n" );
document.write( ":<BR>\n" );
document.write( "200(x+5) - 200x = 2x(x+5)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "200x + 1000 - 200x = 2x^2 + 10x<BR>\n" );
document.write( ":<BR>\n" );
document.write( "1000 = 2x^2 + 10x<BR>\n" );
document.write( ";<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "2x^2 + 10x - 1000 = 0<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Simplify, divide by 2<BR>\n" );
document.write( "x^2 + 5x - 500<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Factor<BR>\n" );
document.write( "(x+25)(x-20) = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = 20 members now<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this by finding the actual cost per member<BR>\n" );
document.write( "200000/20 = $10000<BR>\n" );
document.write( "With 5 more<BR>\n" );
document.write( "200000/25 = $8000, 2 thousand less<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );