SOLUTION: Going into the final exam, which will count as 2 tests, Brooke has a test score of 80, 83,71,61, 95. What score does Brooke need on the final in order to have an average score of 8

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Question 68121: Going into the final exam, which will count as 2 tests, Brooke has a test score of 80, 83,71,61, 95. What score does Brooke need on the final in order to have an average score of 80?
Found 2 solutions by Edwin McCravy, josmiceli:
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

Going into the final exam, which will
count as 2 tests, Brooke has a test 
score of 80, 83,71,61, 95. What score
does Brooke need on the final in 
order to have an average score of 80?

Let x = her final exam grade


           sum of all test grades  
Average = ------------------------
             number of tests

She has taken 5 tests already and the 
final exam is the same as if she took 
two more tests (7 in all) and made 
the same grade on both.  Using the 
above formula:

      80 + 83 + 71 + 61 + 95 + x + x
80 = ---------------------------------
                   7

      390 + 2x
80 = ----------
         7

Multiply both sides by 7 to clear of 
fractions


7·80 = 390 + 2x

 560 = 390 + 2x

 170 = 2x

  85 = x

She needs to make 85 on the final.

Edwin

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The test will count as 2 tests. I will count the test twice by
saying score = x and add the score twice to get average.
%2880+%2B+83+%2B+71+%2B+61+%2B+95+%2B+x+%2B+x%29+%2F+7+=+80
%28390+%2B+2x%29+%2F+7+=+80
390+%2B+2x+=+560
2x+=+170
x+=+85