document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=94570>Question 94570</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 #68959 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=68959\">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 = Number of students, who actually attended<BR>\n" );
document.write( "Then<BR>\n" );
document.write( "(x+5) = Original number of students expected<BR>\n" );
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document.write( "Actual cost per person: = <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( "Expected cost per person = <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" );
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document.write( "It said the cost increased by $5, because of of 5 less students:<BR>\n" );
document.write( "Actual cost - expected 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 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( "Arrange as a quadratic equation:<BR>\n" );
document.write( "5x^2 + 25x - 2500 = 0<BR>\n" );
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document.write( "Simplify divide 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( "x = +20, the positive solution is what we want here. <BR>\n" );
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document.write( "20 Students actually attended<BR>\n" );
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document.write( "Check our solution. Actual = 20, Expected no. of student = 25<BR>\n" );
document.write( "500/20 - 500/25 = <BR>\n" );
document.write( "  25  -  20  =  $5\r<BR>\n" );
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document.write( " </SPAN>\n" );
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