In a theatre with 24 screens, 8 screens show action films based on the 1:2 ratio of action to other films.
If the ratio of action films to other films is 1:2, this means that for every action film, two films aren't action.
To find the number of action films showing at the theatre, we need to divide the 24 screens by the parts of the ratio (1 + 2) to determine the total parts representing one set of action films.
The total parts in the ratio are 1 (action films) + 2 (other films) = 3 parts.
Now, to find the number of screens for one part of an action films:
![\[ \text{Screens for one part} = \frac{\text{Total screens}}{\text{Total parts}} = (24)/(3) = 8 \text{ screens} \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/ia7staujbsr9yp91uqymnn9lkpguqareut.png)
As the ratio of action films to other films is 1:2, there is one part representing action films and two parts representing other films.
Therefore, the number of screens dedicated to action films:
![\[ \text{Action films} = \text{Screens for one part} * \text{Parts for action films} = 8 * 1 = 8 \text{ screens} \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/zpywmmiq82q9dsjyxd30qkr99pm1gopnrp.png)
Hence, in a theatre with 24 screens and a ratio of action films to others at 1:2, there are 8 screens showing action films.
Question:
A movie theatre has 24 screens. The ratio of action films to others is 1:2. How many action films are showing?