sam's final exam will count as two tests. His test scores are 80, 83, 71, 61, and 95. What score does Sam need on the final to have an average score of 80?

Question

sam's final exam will count as two tests. His test scores are 80, 83, 71, 61, and 95. What score does Sam need on the final to have an average score of 80?

Answer 1

(T+T+80+83+71+61+95)/7=80

(2T+390)/7=80

2T+390=7*80

2T+390=560

2T=560-390

2T=170

T=170/2

T=85

Answer 2

Sam took five tests with one more to go. By the end, Sam will take 6 tests. If Sam wants an average score of 80, that means he would have to score:

 

6 tests x (80 points / exam) = Total points needed

 

Let P = score on the final test.

 

Total Points Needed = P + 80 + 83 + 71 + 61 + 95

 

Solve for P.