MathDB

In the Olympic school the exams are graded with whole numbers, the lowest possible grade is

0

, and the highest is

10

. In the arithmetic class the teacher takes two exams. This year he has

15

students. When one of his students gets less than

3

on the first exam and more than

7

on the second exam, he calls him an overachieving student. The teacher, at the end of correcting the exams, averaged the

30

grades and obtained

8

. What is the largest number of students who passed this class could have had?

Problem Statement