Two students are talking after school:

What is the average of your grades in Math for September?

4.6

That is impossible since the year just started. You could not possiblly have that many grades.

What was the doubting student thinking of of the possible grades teachers give out in this school are 1,2,3,4,and 5; 5 being the best grade.

The average is the total score divided by the number of tests. All scores are integers, so the total score is an integer. The number of tests is an integer. What is the smallest total score that, when divided by an integer, would give 4.6?

The doubting student is likely thinking about the grading scale used in their school, where grades range from 1 to 5, with 5 being the highest grade. This means that if the student says their average grade in Math for September is 4.6, it doesn't fit within the possible grades range.

To calculate the average grade, you need to add up all the grades and divide by the total number of grades. However, in this case, the doubting student is challenging the validity of the mentioned average grade.

If your grades can only be 1, 2, 3, 4, or 5, it would not be possible to have an average grade of 4.6. The average should have been one of those values, not a decimal like 4.6. This implies that either the student made a mistake in stating their average grade, or they are exaggerating their actual performance in Math.