Problem:
A teacher gave a test to a class in which of the students are juniors and are seniors. The average score on the test was 84 . The juniors all received the same score, and the average score of the seniors was 83 . What score did each of the juniors receive on the test?
Answer Choices:
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Solution:
Let be the number of students in the class. Then there are juniors and seniors. Let be the score of each junior. The scores totaled , so
Note: In this problem, we could assume that the class has one junior and nine seniors. Then
The problems on this page are the property of the MAA's American Mathematics Competitions