Teaching Assistants = TA

Students = S

Let assume the ratio of TA/S = 3/80 (Just putting aside the requirement it must be greater)

Let say x be the maximum no of students possible with 5 teaching assistants = 3/80 = 5/x

x = 400/3 = 133.3.

. Now for ratio to be greater than 3/80, we will have to reduce the denominator.

Let us just round it to lowest integer as number of student cannot be a decimal.

The new ratio is 5/133, which is less than 3/80 and hence 133 is the max number of the students.

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