document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=126353>Question 126353</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help!!!!!!\r<BR>\n" );
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document.write( "92) Sharing Cost. The members of a flying club plan to share equally the cost of a $ 2000,000 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 people are in the original group? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92588 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=92588\">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 $ 2000,000 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 people are in the original group?<BR>\n" );
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document.write( "I am going to assume you mean a $200,000 airplane<BR>\n" );
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document.write( "Let x = no. of people in the original group<BR>\n" );
document.write( "Then<BR>\n" );
document.write( "(x+5) = no. of people that will reduce the cost per person by $2000<BR>\n" );
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document.write( "Original cost - 2000 = with added people cost<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200000%2Fx ALIGN=MIDDLE  ALT=\"200000%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 2000 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200000%2F%28x%2B5%29 ALIGN=MIDDLE  ALT=\"200000%2F%28x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Multiply equation by x(x+5) to get rid of the denominators, results:<BR>\n" );
document.write( "20000(x+5) - 2000x(x+5) = 20000x<BR>\n" );
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document.write( "20000x + 1000000 - 2000x^2 - 10000x = 200000x<BR>\n" );
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document.write( "-2000x^2 + 200000x - 10000x - 200000x + 1000000 = 0<BR>\n" );
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document.write( "-2000x^2 - 10000x + 1000000<BR>\n" );
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document.write( "Let's divide the equation by -2000, this will change the signs & simplify it greatly<BR>\n" );
document.write( "x^2 + 5x - 500 = 0<BR>\n" );
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document.write( "This will factor to:<BR>\n" );
document.write( "(x + 25)(x - 20) = 0<BR>\n" );
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document.write( "The positive solution is what we want:<BR>\n" );
document.write( "x = 20 people originally<BR>\n" );
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document.write( "Check our solution:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200000%2F20 ALIGN=MIDDLE  ALT=\"200000%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > = $10000<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=200000%2F25 ALIGN=MIDDLE  ALT=\"200000%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" > = $8000; confirms our solution<BR>\n" );
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document.write( "How about this. Did it make sense to you. Not that hard, just a lot of zeros </SPAN>\n" );
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