# Number Theory- Mr. Mendez's class problem

## Number Theory- Mr. Mendez's class problem

Since this is the

If Mr. Mendez awards extra credit points to his students with quiz grades that exceed the class average, what is the largest number of students that are awarded extra credit in a class of 107?

(Note this comes from one of the easier questions of 1995 National Sprint MathCounts)

**Counting**and Probability forum, I would like to begin with the fact that this is not the normal counting (1, 2, 3...) you may think of. By counting, I mean to introduce concepts such as casework and number theory.**First question I would like to introduce:**If Mr. Mendez awards extra credit points to his students with quiz grades that exceed the class average, what is the largest number of students that are awarded extra credit in a class of 107?

(Note this comes from one of the easier questions of 1995 National Sprint MathCounts)

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