document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132828>Question 132828</A>: <I><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?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97068 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley71><B>checkley71(8403)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley71><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=97068\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 500/X=500/(X-5)-5<BR>\n" );
document.write( "500/X-500/(X-5)=-5<BR>\n" );
document.write( "(500(X-5)+X)/X(X-5)=-5<BR>\n" );
document.write( "(500X-2500-500X)/(X^2+5X)=-5 CROSS MULTIPLY.<BR>\n" );
document.write( "-5(X^2+5X)=-2500<BR>\n" );
document.write( "-5X^2+25X+2500=0<BR>\n" );
document.write( "-5(X^2-5X-500=0<BR>\n" );
document.write( "-5(X-25)(X+20)=0<BR>\n" );
document.write( "X-25=0<BR>\n" );
document.write( "X=25 NUMBER OF STUDENTS ORIGINALLY PLANNED TO ATTEND.<BR>\n" );
document.write( "PROOF:<BR>\n" );
document.write( "500/25=500/(25-5)-5<BR>\n" );
document.write( "20=(500/20)-5<BR>\n" );
document.write( "25=25-5<BR>\n" );
document.write( "20=20\r<BR>\n" );
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