document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=106572>Question 106572</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321233832/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> This is an online study course.\r<BR>\n" );
document.write( "\n" );
document.write( "Some students planned for a get-together. The budget for food was $500. Five of the students failed to come because of the distance and therefore the cost of food for each member increased by $5. How many students attended the get-together?\r<BR>\n" );
document.write( "\n" );
document.write( "500/x + 5 = 500/(x-5)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77572 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=77572\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Some students planned for a get-together. The budget for food was $500. Five of the students failed to come because of the distance and therefore the cost of food for each member increased by $5. How many students attended the get-together?\r<BR>\n" );
document.write( "\n" );
document.write( "500/x + 5 = 500/(x-5)<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "500/x is the original \"cost per person\" for the group<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "500/(x-5) is the new \"cost perperson\" for the group after 5 fail to show.<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "(500/x) + 5 + 500/(x-5)<BR>\n" );
document.write( "Multiply thru by x(x-5) to get:<BR>\n" );
document.write( "500(x-5) + 5x(x-5) = 500x<BR>\n" );
document.write( "500x - 2500 = 5x^2-25x = 500x<BR>\n" );
document.write( "5x^2-25x-2500 = 0<BR>\n" );
document.write( "x^2 - 5x - 500 = 0<BR>\n" );
document.write( "x = [5 +- sqrt(25-4*-500)]/2\r<BR>\n" );
document.write( "\n" );
document.write( "x = [5 +- sqrt(2025]/2\r<BR>\n" );
document.write( "\n" );
document.write( "x = [5 +- 45]/2\r<BR>\n" );
document.write( "\n" );
document.write( "x = 25 or x = -20<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "x=20 is the only realistic answer.<BR>\n" );
document.write( "x-5 = 15 (number who attended the get-together)<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );