document.write( "Question 567475: Going into the final exams, 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, whuch requires an average score of 80? What does he need to earn an A, which requires an average of 90? \n" ); document.write( "
Algebra.Com's Answer #366546 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Going into the final exams, 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? \n" ); document.write( "** \n" ); document.write( "Given: \n" ); document.write( "final exam counts as 2/3 of the final score \n" ); document.write( "previous test scores count as 1/3 of the final score \n" ); document.write( "let x=score needed on final to get a B or A grade \n" ); document.write( ".. \n" ); document.write( "(86+80+84+90)/4=85 (average of previous test scores) \n" ); document.write( "To get a B grade: \n" ); document.write( "85/3+2x/3=80 \n" ); document.write( "85+2x=240 \n" ); document.write( "2x=240-85=155 \n" ); document.write( "x=155/2=77.5 \n" ); document.write( ".. \n" ); document.write( "To get an A grade: \n" ); document.write( "85/3+2x/3=90 \n" ); document.write( "85+2x=270 \n" ); document.write( "2x=270-85=185 \n" ); document.write( "x=185/2=92.5 \n" ); document.write( ".. \n" ); document.write( "ans: \n" ); document.write( "Final score needed to earn an A: 92.5 \n" ); document.write( "Final score needed to earn a B: 77.5 \n" ); document.write( " |