document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67920>Question 67920</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395430526/algebrahomeworkh>Algebra:Structure and Method</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The $75 dollar cost for a party was to be shared equally by all those attending. Since 5 more people attended than was expected, the price per person dropped by 50 cents. How many people attended the party? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48302 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=48302\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The $75 dollar cost for a party was to be shared equally by all those attending. Since 5 more people attended than was expected, the price per person dropped by 50 cents. How many people attended the party?<BR>\n" );
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document.write( "Let \"x\" be the original number attending<BR>\n" );
document.write( "Price per person would have been 75/x<BR>\n" );
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document.write( "When 5 more attended the number attending was \"x+5\"<BR>\n" );
document.write( "Price per person is then 75/(x+5)<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "Old price - New price = 50 cents<BR>\n" );
document.write( "75/x - 75/(x+5) = 50 <BR>\n" );
document.write( "3/x - 3/(x+5) = 2<BR>\n" );
document.write( "Multiply thru by x(x+5) to get:<BR>\n" );
document.write( "3(x+5) - 3x = 2x(x+5)<BR>\n" );
document.write( "3x+15 - 3x = 2x^2+10x<BR>\n" );
document.write( "2x^2+10x-15=0<BR>\n" );
document.write( "x=[-10+-sqrt(100-4*2*-15)]/4<BR>\n" );
document.write( "x=[-10+-sqrt(220)]/4<BR>\n" );
document.write( "NOTE: This does not turn to be a whole number.<BR>\n" );
document.write( "Please check your problem data.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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