document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=69989>Question 69989</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Desparate need of help. Thank you in advance!\r<BR>\n" );
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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? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #49843 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=49843\">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<BR>\n" );
document.write( " the students failed to come because of the distance and therefore the cost of<BR>\n" );
document.write( " food for each member increased by $5. How many students attended the<BR>\n" );
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document.write( "Let x = Number of actual students that attended<BR>\n" );
document.write( "(x+5) = number that planned to attend<BR>\n" );
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document.write( "Original cost per student: 500/(x+5)<BR>\n" );
document.write( "Actual cost per student: 500/x<BR>\n" );
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document.write( "Actual cost = anticipated cost + $5<BR>\n" );
document.write( "500/x = (500/(x+5)) + 5<BR>\n" );
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document.write( "Mult equation by x(x+5) to get rid of the denominators, resulting in:<BR>\n" );
document.write( "500(x+5) = 500x + 5(x(x+5))<BR>\n" );
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document.write( "500x + 2500 = 500x + 5x^2 + 25x<BR>\n" );
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document.write( "0 = 5x^2 + 25x + 500x - 500x - 2500<BR>\n" );
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document.write( "A quadratic equation:<BR>\n" );
document.write( "5x^2 + 25x - 2500 = 0<BR>\n" );
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document.write( "Simplify, divide equation by 5<BR>\n" );
document.write( "x^2 + 5x - 500 = 0<BR>\n" );
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document.write( "Factor this to:<BR>\n" );
document.write( "(x+25)(x-20) = 0<BR>\n" );
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document.write( "x = 20 actually made it (positive solution is what we want here)<BR>\n" );
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document.write( "Check our solution using the cost:<BR>\n" );
document.write( "Actual cost: 500/20 = $25 each<BR>\n" );
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document.write( "Anticipated cost: 500/25 = $20 each\r<BR>\n" );
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document.write( " </SPAN>\n" );
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