document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149813>Question 149813</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This problem is from a chapter dealing with Quadratic Equations and Inequalities<BR>\n" );
document.write( "The members of a travelling club plan to share equally the cost of a $150,000 motor home. If they can find 10 more people to join and share the cost, the cost per person will decrease by $1,250. How many members are there originally 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 #109924 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=109924\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x=\"original members\"\r<BR>\n" );
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document.write( "each share is the amount ($150000) divided by the number of members (x or x+10)<BR>\n" );
document.write( "__ more members means the share is smaller\r<BR>\n" );
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document.write( "150000/x=[150000/(x+10)]+1250 __ dividing by 1250 __ 120/x=[120/(x+10)]+1\r<BR>\n" );
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document.write( "multiplying by x(x+10) __ 120x+1200=120x+x^2+10x __ subtracting 120x+1200 __ 0=x^2+10x-1200\r<BR>\n" );
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document.write( "factoring __ 0=(x+40)(x-30)\r<BR>\n" );
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document.write( "x+40=0 __ x=-40 __ negative value not realistic\r<BR>\n" );
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document.write( "x-30=0 __ x=30 </SPAN>\n" );
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