document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174609>Question 174609</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 #129638 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=129638\">put this solution on YOUR website!</A><BR><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?<BR>\n" );
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document.write( "Let original # in the club be \"x\"; average share = 200,000/x dollars<BR>\n" );
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document.write( "After finding 5 more members \"x+5\"; average share = 200,000/(x+5) dollars<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "original average - new average = 2000<BR>\n" );
document.write( "200,000/x - 200,000/(x+5) = 2000\r<BR>\n" );
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document.write( "Divide thru by 2000 to get:\r<BR>\n" );
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document.write( "100/x - 100/(x+5) = 1\r<BR>\n" );
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document.write( "100(x+5) - 100x = x^2+5x\r<BR>\n" );
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document.write( "500 = x^2+5x<BR>\n" );
document.write( "x^2 + 5x -500 = 0\r<BR>\n" );
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document.write( "(x-20)(x+25) = 0\r<BR>\n" );
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document.write( "x = 20 (original # of members<BR>\n" );
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document.write( "Ceers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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