document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207382>Question 1207382</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Going into the final exam,which will count as two-thirds of the final grade,Mike has test scores of 86,80,84,and 90.What score does Mike need on the final in order to earn a B,which requires an average score of 80? What does he need to earn an A,which requires an average of 90? \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let me see.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let x = grade needed on final exam to earn a B.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(86 + 80 + 84 + 90 + x)/5 = 80\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let y = grade needed on final exam to earn an A.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(86 + 80 + 84 + 90 + y)/5 = 90\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Is this correct?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #845236 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=845236\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "WOW! A final exam counting for 2/3 of the grade for the course? Scary....<br><BR>\n" );
document.write( "The average of his four test scores is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2886%2B80%2B84%2B90%29%2F4=85 ALIGN=MIDDLE  ALT=\"%2886%2B80%2B84%2B90%29%2F4=85\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "To get a B, his overall average has to be 80.  That is 5 points below the average of his test scores.  The final exam counts for 2/3 of the total grade, which means it counts for twice as much as his current test average.  So his score on the final exam has to be 5/2 = 2.5 points below 80 -- i.e., 77.5.<br><BR>\n" );
document.write( "ANSWER #1: to get a B (average of 80), his score on the final exam needs to be 77.5<br><BR>\n" );
document.write( "Similarly, to get an A in the course he needs an average of 90; his current test score average is 5 points below 90, so his score on the final exam needs to be 5/2 = 2.5 points above 90.<br><BR>\n" );
document.write( "ANSWER #2: to get a A (average of 90), his score on the final exam needs to be 92.5<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );