document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=776407>Question 776407</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, if anyone could help me with this. I would really appreciate it. \r<BR>\n" );
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document.write( "A group of neighbors agreed to contribute equally toward the purchase of some garden equiptment costing $72. When the equiptment was delivered, two others asked to join the group. The result was that each person contributed $1.80 less than originally planned. How many were in the original group?\r<BR>\n" );
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document.write( "Thank you for the help! Kudos! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #473557 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=473557\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A group of neighbors agreed to contribute equally toward the purchase of some garden equiptment costing $72. When the equiptment was delivered, two others asked to join the group. The result was that each person contributed $1.80 less than originally planned. How many were in the original group? <BR>\n" );
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document.write( "Let the original # of people be \"x\"::<BR>\n" );
document.write( "Average cost for them would be 72/x dollars.<BR>\n" );
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document.write( "Average cost with 2 additional people:: 72/(x+2)<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "original average - new average = 1.80<BR>\n" );
document.write( "72/x - 72/(x+2) = 1.8<BR>\n" );
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document.write( "1/x - 1/(x+2) = 0.025<BR>\n" );
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document.write( "x+2 - x = 0.025x(x+2)<BR>\n" );
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document.write( "0.025x^2+0.05x-2 = 0<BR>\n" );
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document.write( "x = 8 (original # of people)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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