Problem:
Four students take an exam. Three of their scores are , and . If the average of their four scores is , then what is the remaining score?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The given scores , and are a total of above the stated average. Thus the remaining score is points below the average, and .
Let be the missing score. Then the sum . So must be .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions