SOLUTION: Before the final exam,, a student has test scores of 72, 80, 65, 78, and 60. If the final exam counts as one-third of the final grade, what score must the student receive in o

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Before the final exam,, a student has test scores of 72, 80, 65, 78, and 60. If the final exam counts as one-third of the final grade, what score must the student receive in o      Log On


   



Question 122865: Before the final exam,, a student has test scores of 72, 80, 65, 78, and 60. If the final exam counts as one-third of the final grade, what score must the
student receive in order to have a final average of 76?
I tried the equation: [355(2/3) + 1/3x] = 76

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
(72+80+65+78+60)/5
355/5=71 AVERAGE FOR THE FIRST 5 TEST RESULTS.
71*2/3+1/3X=76 CALCULATING 2/3 OF THE FIRST 5 TESTS + 1/3 OF THE FINAL TEST SCORE.
142/3+X/3=76
47.33+X/3=76
X/3=76-47.33
X/3=28.67
X=3*28.67
X=86 IS THE REQUIRED TEST SCORE ON THE FINAL TEST TO AVERAGE 76.