document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150245>Question 150245</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072538953/algebrahomeworkh>Elementary and Intermediate Algebra</A><BR>\n" );
document.write( ": <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 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 #110240 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><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=110240\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> constant=cost in thousands *(so you have less zeros and it looks less confusing)<BR>\n" );
document.write( "y=number of people<BR>\n" );
document.write( "x=price per person\r<BR>\n" );
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document.write( "200/y=x<BR>\n" );
document.write( "(200/y+5)=x-2\r<BR>\n" );
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document.write( "Substitute x<BR>\n" );
document.write( "(200/y+5)=(200/y)-2\r<BR>\n" );
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document.write( "Common denominator on the right side=y<BR>\n" );
document.write( "200/y+5=200/y - 2y/y\r<BR>\n" );
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document.write( "Combine like terms on the right side<BR>\n" );
document.write( "200/y+5=200-2y/y\r<BR>\n" );
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document.write( "Cross multiply<BR>\n" );
document.write( "200y=(y+5)(-2y+200)\r<BR>\n" );
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document.write( "FOIL the right side<BR>\n" );
document.write( "200y=-2y^2+190y+1000\r<BR>\n" );
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document.write( "Subtract 200y from both sides<BR>\n" );
document.write( "0=-2y^2-10y+1000\r<BR>\n" );
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document.write( "Factor out a negative 2<BR>\n" );
document.write( "0=-2(y^2+5y-500)\r<BR>\n" );
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document.write( "Factor<BR>\n" );
document.write( "0=-2(y+25)(y-20)\r<BR>\n" );
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document.write( "Solve for y<BR>\n" );
document.write( "y+25=0<BR>\n" );
document.write( "y=-25\r<BR>\n" );
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document.write( "y-20=0<BR>\n" );
document.write( "y=20\r<BR>\n" );
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document.write( "You got two solutions, but since y=number of people, and the amount of people cannot be negative, you know that y=20 is your answer.\r<BR>\n" );
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document.write( "# of current members: 20 </SPAN>\n" );
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