document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=503243>Question 503243</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A group of farmers agree to share equally in the cost of a $48,000 piece of machinery. If they could find two more farmers to join the group, each person's share of the cost would decrease by $4000. How many farmers are presently in the group? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #339172 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=339172\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x be number of farmers initially<BR>\n" );
document.write( "share per farmer = 48000/x\r<BR>\n" );
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document.write( "two more join<BR>\n" );
document.write( "share per farmer = 48000/(x+2)\r<BR>\n" );
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document.write( "48000/x - 48000/(x+2) = 4000\r<BR>\n" );
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document.write( "LCD = x(x+2)<BR>\n" );
document.write( "multiply by LCD<BR>\n" );
document.write( "48000((x+2)-48000x= 4000x(x+2)<BR>\n" );
document.write( "48000x+960000-48000x=4000x^2+8000x<BR>\n" );
document.write( "4000x^2+8000x-960000=0<BR>\n" );
document.write( "/4000<BR>\n" );
document.write( "x^2+2x-24=0<BR>\n" );
document.write( "x^2+6x-4x-24=0<BR>\n" );
document.write( "(x+6)(x-4)=0<BR>\n" );
document.write( "x= 4 original number of farmers </SPAN>\n" );
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