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prealgebra senior

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 The juniors all received the same score, and the average score of the seniors was What score did each of the juniors receive on the test?
(A)
(B)
(C)
(D)
Solution
We can assume there are people in the class. Then there will be junior and seniors. The sum of everyone's scores is . Since the average score of the seniors was , the sum of all the senior's scores is . The only score that has not been added to that is the junior's score, which is
Final answer
C