Question

In an auditorium of the school when 5 rows of seats are filled, 2 seats remain empty, and when 4 rows of seats are filled, 3 students remain unseated. How many students are there in this class?

Answer 1

23 students

Explanation:

We assume the wording "when 5 rows of seats are filled, 2 seats remain empty" means that there are 2 empty seats in the 5th row (which then would not be filled).

If n is the number of seats in a row, we think the problem statement means ...

5n -2 = 4n +3

n = 5 . . . . . . . . . . add 2-4n

Then 5(5)-2 = 23 = 4(5) +3.

There are 23 students in the class.