document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=146063>Question 146063</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073268620/algebrahomeworkh></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 #106607 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=106607\">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. 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( "Do this in thousands of dollars to avoid all those zero's<BR>\n" );
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document.write( "Let x = no. of members currently in the club<BR>\n" );
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document.write( "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" );
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document.write( "Original 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 x(x+5) to get rid of the denominators<BR>\n" );
document.write( "200(x+5) = 200x + 2x(x+5)<BR>\n" );
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document.write( "200x + 1000 = 200x + 2x^2 + 10x<BR>\n" );
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document.write( "Arrange on the left as a quadratic equation:<BR>\n" );
document.write( "2x^2 + 10x + 200x - 200x - 1000 = 0<BR>\n" );
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document.write( "2x^2 + 10x - 1000 = 0<BR>\n" );
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document.write( "Simplify<BR>\n" );
document.write( "x^2 + 5x - 500 = 0<BR>\n" );
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document.write( "Factor to:<BR>\n" );
document.write( "(x+25)(x-20) = 0<BR>\n" );
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document.write( "Positive solution:<BR>\n" );
document.write( "x = 20 original members<BR>\n" );
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document.write( "Check solution<BR>\n" );
document.write( "Cost originally: 200/20 = 10k<BR>\n" );
document.write( "Cost with 5 more: 200/25 = 8k </SPAN>\n" );
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