document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=316621>Question 316621</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A number of students go to  a game costing a tital of $80. Eight studnets are ill and cant go. Each of the remaining kids have to pay $ 0.50  each. how many studenst went on teh bus?. \r<BR>\n" );
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document.write( "thanksyou so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #226609 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=226609\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A number of students go to a game costing a total of $80.<BR>\n" );
document.write( " Eight students are ill and can't go.<BR>\n" );
document.write( " Each of the remaining kids have to pay $ 0.50 each. <BR>\n" );
document.write( "how many students went on the bus?.<BR>\n" );
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document.write( "Let s = the number of students that actually go<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+8) = number that were scheduled to go<BR>\n" );
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document.write( "Actual cost (per student) - anticipated cost = .50<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2Fs ALIGN=MIDDLE  ALT=\"80%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2F%28s%2B8%29 ALIGN=MIDDLE  ALT=\"80%2F%28s%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .50<BR>\n" );
document.write( "multiply equation by s(s+8), results<BR>\n" );
document.write( "80(s+8) - 80s = .50s(s+8)<BR>\n" );
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document.write( "80s + 640 - 80s = .5s^2 + 4s<BR>\n" );
document.write( "Arrange as a quadratic equation on the right<BR>\n" );
document.write( "0 = .5s^2 + 4s - 640<BR>\n" );
document.write( "Get rid of the decimal, multiply by 2<BR>\n" );
document.write( "s^2 + 8s - 1280 = 0<BR>\n" );
document.write( "This will factor because we know it has to be an integer solution<BR>\n" );
document.write( "(s+40)(s-32) = 0<BR>\n" );
document.write( "the positive solution<BR>\n" );
document.write( "s = 32 students actually went on the bus<BR>\n" );
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document.write( "Check this by finding the cost of each scenario<BR>\n" );
document.write( "80/32 = 2.50; actual price<BR>\n" );
document.write( "80/40 = 2.00; we can see each had come up with 50 cents<BR>\n" );
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