document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=32203>Question 32203</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose a class takes an exam and earns and average of 55.2. If all students earned integer scores from 0 to 100, is it possible to find four of the students whose average is 55.2? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #18732 by </B><A HREF=/tutors/aboutme.mpl?userid=Fermat><B>Fermat(136)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fermat><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=Fermat><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=18732\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The answer is NO!<BR>\n" );
document.write( "If the average of four students is 55.2, then the sum total of their scores is 4*55.2 = 220.8.<BR>\n" );
document.write( "But we are told that their scores are integer values. Therefore the sum total of any number of scores is also an integer.<BR>\n" );
document.write( "Since 220.8 is not an integer, then it canot be the sum total of any number of scores.<BR>\n" );
document.write( "Therefore we cannot have four students, with integer scores, whose average is 55.2.<BR>\n" );
document.write( "It would work with 5 students though.<BR>\n" );
document.write( "In fact, this means that the number of students in the class must be a multiple of 5, if the average is 55.2 (= 55 1/5)<BR>\n" );
document.write( "Do you think you might get bonus marks if you mention this in your answer ? :) </SPAN>\n" );
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