A lecture theatre has 84 seats and 3/4 of the seats are filled.How many vacant seats are there in the lecture theatre?

3/4 filled, so 1/4 vacant

1/4 * 84 = 21

Well, if 3/4 of the seats are filled, that means 1/4 of the seats are empty. So, let's do a little seat math here:

84 seats multiplied by 1/4 (because 1/4 is empty) equals... drum roll, please...

21 vacant seats! Looks like there's plenty of room for a game of musical chairs. Just remember, don't get caught sitting when the music stops!

To find the number of vacant seats in the lecture theatre, we need to subtract the number of filled seats from the total number of seats.

Step 1: Calculate the number of filled seats.
We are given that 3/4 of the seats are filled. To find the number of filled seats, we multiply the fraction by the total number of seats.
Filled seats = (3/4) * 84

Step 2: Calculate the number of vacant seats.
To find the number of vacant seats, we subtract the number of filled seats from the total number of seats.
Vacant seats = Total seats - Filled seats

Let's calculate the number of vacant seats:
Filled seats = (3/4) * 84 = 63
Vacant seats = 84 - 63 = 21

Therefore, there are 21 vacant seats in the lecture theatre.

To find the number of vacant seats in the lecture theatre, you first need to calculate 3/4 of the total number of seats and then subtract that from the total number of seats.

1. Calculate 3/4 of the total number of seats:
- Multiply 84 by 3/4 (or 0.75 since 3/4 is equivalent to 0.75)
84 * 0.75 = 63

2. Subtract the result from the total number of seats to find the number of vacant seats:
84 - 63 = 21

So, there are 21 vacant seats in the lecture theatre.