document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=185194>Question 185194</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please someone help me with this word problem please I tried to do it myself but keep getting it wrong..\r<BR>\n" );
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document.write( "	The members of the 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 #138913 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=138913\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large C_p\"> represent the current cost per person and let <i>x</i> be the current number of members.  Also, for convenience sake, represent the money amounts in thousands, meaning the cost of the airplane is 200 and the savings after recruiting 5 new members is 2.  Then:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  C_p = \frac{200}{x}\"> thousand dollars.\r<BR>\n" );
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document.write( "If you add five new members reducing the cost per person by 2 thousand, then:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  C_p - 2 = \frac{200}{x} - 2 = \frac{200}{x + 5}\">\r<BR>\n" );
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document.write( "Add on the left with <i>x</i> as the common denominator:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{200}{x} - \frac{2x}{x} = \frac{200 - 2x}{x}\">\r<BR>\n" );
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document.write( "And now we have a proportion:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  \frac{200 - 2x}{x} = \frac{200}{x + 5}\">\r<BR>\n" );
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document.write( "Cross-multiply:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (200 - 2x)(x + 5) = 200x\">\r<BR>\n" );
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document.write( "Expand, collect terms, put in standard form:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 200x + 1000 - 2x^2 - 10x - 200x = 0\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ - 2x^2 - 10x + 1000 = 0\">\r<BR>\n" );
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document.write( "Divide by -2:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x^2 + 5x - 500 = 0\">\r<BR>\n" );
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document.write( "Factor the quadratic and eliminate the negative root because a negative number of members is absurd -- it is an extraneous root introduced by squaring the variable in the process of solving the problem.  The positive root is your current number of members.\r<BR>\n" );
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document.write( "Check your answer by dividing 200 by your result for <i>x</i> and verify that the quotient is 2 larger than the result of dividing 200 by <i>x</i> + 5.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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