document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166031>Question 166031</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 10.2 94) Sharing cost: The members of a flying club plan to share equally the cost of $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 #122398 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=122398\">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 $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 x = no. of members currently<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+5) = no. of members to reduce the cost/member $2000<BR>\n" );
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document.write( "Let's deal in thousands of dollars to lessen the number of zeros we have to write:<BR>\n" );
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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) to eliminate the denominators, results<BR>\n" );
document.write( "200(x+5) - 2x(x+5) = 200x<BR>\n" );
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document.write( "200x + 1000 - 2x^2 - 10x = 200x<BR>\n" );
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document.write( "Subtract 200x from both sides and we have a quadratic equation<BR>\n" );
document.write( "-2x^2 - 10x + 1000<BR>\n" );
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document.write( "Simplify and change the signs, divide equation by -2, results<BR>\n" );
document.write( "x^2 + 5x - 200 = 0<BR>\n" );
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document.write( "Factors easily to:<BR>\n" );
document.write( "(x+25)(x-20) = 0<BR>\n" );
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document.write( "Positive solution is what we want here:<BR>\n" );
document.write( "x = +20 original members<BR>\n" );
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document.write( "Check solution in original equation<BR>\n" );
document.write( "200/20 = 10<BR>\n" );
document.write( "200/25 = 8<BR>\n" );
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document.write( "differ by 2 (thousand) </SPAN>\n" );
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