When 300 pupils are in a lecture hall,only 2/3 of the seats are occupied. How many seats are there?
let x = number of seats.
Then (2/3)x = 300
Solve for x.
To find the total number of seats in the lecture hall, we need to determine the number of seats that correspond to 2/3 occupancy.
Let's denote the total number of seats in the lecture hall as "x" (which is what we're trying to find). We know that 2/3 of these seats are occupied by the 300 pupils.
To calculate the number of occupied seats, we can multiply 2/3 (the occupancy fraction) by the total number of seats:
2/3 * x = 300
To solve for x, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 2/3:
x = 300 / (2/3)
To divide by a fraction, we can multiply by its reciprocal. Therefore:
x = 300 * (3/2)
Multiplying 300 by 3/2 gives us:
x = 450
Therefore, there are 450 seats in the lecture hall.