document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214840>Question 214840</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please try your best to explain your steps...THANK YOU!!!\r<BR>\n" );
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document.write( "A class had lunch, and the bill totalled $239.25. 4 students had their birthday, therefore, they didn't need to pay. The other students had to pay $1 more than if all the students had paid. How many students had lunch?\r<BR>\n" );
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document.write( "Thank you for your time! :) Answer is 33 students.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162307 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=162307\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A class had lunch, and the bill totalled $239.25. 4 students had their birthday, therefore, they didn't need to pay. The other students had to pay $1 more than if all the students had paid. How many students had lunch? <BR>\n" );
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document.write( "n = total # of students<BR>\n" );
document.write( "p = price of lunch per student<BR>\n" );
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document.write( "p = 23925/n what they would have paid if all had contributed<BR>\n" );
document.write( "p+100 = 23925/(n-4) what they had to pay without 4 chipping in<BR>\n" );
document.write( "Sub for p into 2nd eqn<BR>\n" );
document.write( "(23925/n) + 100 = 23925/(n-4)<BR>\n" );
document.write( "Now it's just arithmetic<BR>\n" );
document.write( "(23925 + 100n)/n = 23925/(n-4)<BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "(23925+100n)*(n-4) = 23925n<BR>\n" );
document.write( "Divide by 25 (makes the numbers smaller)<BR>\n" );
document.write( "(957+4n)(n-4) = 957n<BR>\n" );
document.write( "4n^2 + 941n - 3828 = 957n<BR>\n" );
document.write( "4n^2 - 16n - 3828 = 0<BR>\n" );
document.write( "n^2 - 4n - 957 = 0<BR>\n" );
document.write( "(n-33)*(n+29) = 0<BR>\n" );
document.write( "n = -29 students (Ignore)<BR>\n" );
document.write( "n = 33<BR>\n" );
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