document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=125815>Question 125815</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? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92276 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=92276\">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?<BR>\n" );
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document.write( "Let x = no. of students that attended<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+5) = no. of students anticipated to attend<BR>\n" );
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document.write( "The original cost per student for food: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2F%28%28x%2B5%29%29 ALIGN=MIDDLE  ALT=\"500%2F%28%28x%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Actual cost per student: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2Fx ALIGN=MIDDLE  ALT=\"500%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The equation<BR>\n" );
document.write( "Actual cost - original cost = $5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2Fx ALIGN=MIDDLE  ALT=\"500%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2F%28%28x%2B5%29%29 ALIGN=MIDDLE  ALT=\"500%2F%28%28x%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5<BR>\n" );
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document.write( "Multiply each term by x(x+5) to get rid of the denominators. cancel them & you have:<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( "5x^2 + 25x - 2500 = 0; 500x's cancel, arrange as a quadratic equation<BR>\n" );
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document.write( "Simplify divide eq by 5:<BR>\n" );
document.write( "x^2 + 5x - 500 = 0<BR>\n" );
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document.write( "Factors to:<BR>\n" );
document.write( "(x + 25) (x - 20) = 0<BR>\n" );
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document.write( "Positive solution is what we want:<BR>\n" );
document.write( "x = +20 students actually attended<BR>\n" );
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document.write( "Check solution by finding the cost per student<BR>\n" );
document.write( "original 500/25 = 20<BR>\n" );
document.write( "actual:  500/20 = 25<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "difference cost =  5 </SPAN>\n" );
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