Problem:
Mr. Patrick teaches math to students. He was grading tests and found that when he graded everyone's test except Payton's, the average grade for the class was . After he graded Payton's test, the class average became . What was Payton's score on the test?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The sum of the test scores was . The sum of all 15 test scores was . Therefore Payton's score was .
To bring the average up to , the total must include more point for each of the students, in addition to points for Payton. Therefore Payton's score was .
The problems on this page are the property of the MAA's American Mathematics Competitions