document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1095098>Question 1095098</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Twelve students took a math exam and obtained an average score of 80%. If four students received an A grade (a score of 90% or above), then what was the minimum possible percentage mean score of the other students? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #709668 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=709668\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br>Josgarithmetic said get a second opinion....  Her answer is fine; but I would solve the problem differently....<br><BR>\n" );
document.write( "If we are looking for the minimum average of the other 8 students, then we want the 4 students who got A's to get the highest possible score, which I will assume is 100.<br><BR>\n" );
document.write( "Let's talk scores out of 100 instead of percentages, to make the description easier....<br><BR>\n" );
document.write( "The average is 80, and 4 students each scored 100.  That is a total of 4*20=80 points above what is needed to make an average of 80.  That means the average for the other 8 students must be such that their total scores are 80 below the overall average of 80.  80 points, divided equally among the 8 students, is 10 points each.  So the average of the other 8 students is 10 points below the overall average of 80; 80-10 = 70. </SPAN>\n" );
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