document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=293931>Question 293931</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sharing cost.  The members of a flying  club plan to share equally the cost of a $200.000 airplane. The members want to find five more people to join the club so that the cost per person will decrease by $2000. How many members 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 #212079 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=212079\">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" );
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document.write( "Let x = no. of members<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+5) = no. of members to decrease the cost by 2k<BR>\n" );
document.write( ":<BR>\n" );
document.write( "We can do this in 1000's of dollars<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Current 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( ":<BR>\n" );
document.write( "Cheaper cost per member = <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( "Current cost = new cost plus two thousand<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 by x(x+5), results<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( "can be arranged as a quadratic equation<BR>\n" );
document.write( "2x^2 + 10x - 1000 = 0<BR>\n" );
document.write( "simplify, divide by 2<BR>\n" );
document.write( "x^2 + 5x - 500 = 0<BR>\n" );
document.write( "Factor<BR>\n" );
document.write( "(x + 25)(x - 20) = 0<BR>\n" );
document.write( "positive solution<BR>\n" );
document.write( "x = 20 members currently<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution by finding the costs<BR>\n" );
document.write( "200000/20 = 10000<BR>\n" );
document.write( "200000/25 = 8000<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "difference: 2000 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );