document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=160728>Question 160728</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The members of a flying club plan to share equally the cost of a $200,000 airplane. The members want to 5 more people to join the club so that the cost per person will decrease by $2,000. 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 #118529 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=118529\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  (2008-10-06 21:30:37): The members of a flying club plan to share equally the cost of a $200,000 airplane. The members want to 5 more people to join the club so that the cost per person will decrease by $2,000. How many members are currently in the club?<BR>\n" );
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document.write( "We can deal with this in $1000's Plane cost $200, cost decrease is $2<BR>\n" );
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document.write( "Let x = no. members currently in the club<BR>\n" );
document.write( "then<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;\" > = cost per member now<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<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;\" > = cost if 5 more members join<BR>\n" );
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document.write( "The equation:<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;\" > - 2 = <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" );
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document.write( "Multiply equation by x(x+5), results<BR>\n" );
document.write( "200(x+5) - 2(x(x+5) = 200x<BR>\n" );
document.write( "200x + 1000 - (2x^2 + 10x) = 200x<BR>\n" );
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document.write( "200x + 1000 - 2x^2 - 10x - 200x = 0<BR>\n" );
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document.write( "-2x^2 - 10x + 1000 = 0<BR>\n" );
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document.write( "Simplify divide equation by -2<BR>\n" );
document.write( "+x^2 + 5x - 500 = 0<BR>\n" );
document.write( "Factor<BR>\n" );
document.write( ")x-20)(x+25) = 0<BR>\n" );
document.write( "Positive solution<BR>\n" );
document.write( "x = 20 members currently<BR>\n" );
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document.write( "Check solution find the actual costs<BR>\n" );
document.write( "200000/20 = $10000<BR>\n" );
document.write( "200000/25 = $8000 <BR>\n" );
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