SOLUTION: Jorge’s average score on the first 3 tests was 88. His average score on the next 5 tests was 84. What was Jorge’s average score on all 8 tests?

Question 1190923: Jorge’s average score on the first 3 tests was 88. His average score on the next 5 tests was 84. What was Jorge’s
average score on all 8 tests?
Found 2 solutions by Alan3354, greenestamps:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Jorge’s average score on the first 3 tests was 88. His average score on the next 5 tests was 84. What was Jorge’s
average score on all 8 tests?
========================================
(3*88 + 5*84)/8
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

In a problem about averages where all the numbers are close together, you can often find the answer quickly by using an "over and under" analysis.

In this case, if the average on the first 3 tests had also been 84, then the average on all 8 tests would be 84.
However, he scored an average of 3 points above 84 on those first 3 tests. That's a total "over" of 4*3=12 points.
12 "over" points averaged over the 8 tests is an average "over" of 12/8=1.5.
So his average is 84+1.5=85.5.

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