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A movie theater has 24 screens. The ratio of action films to other films currently showing is \( 1: 2 \). How many action films are currently showing?

Ask by Marshall Ellis. in the United States
Mar 14,2025

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Tutor-Verified Answer

Answer

There are 8 action films currently showing.

Solution

Let the number of action films be \( A \) and the number of other films be \( O \). Given the ratio of action films to other films is \( 1:2 \), we can write this as: \[ \frac{A}{O} = \frac{1}{2} \] which implies: \[ O = 2A. \] Since the movie theater has 24 screens and all films are shown on these screens, we have: \[ A + O = 24. \] Substitute \( O = 2A \) into the total: \[ A + 2A = 24. \] Combine like terms: \[ 3A = 24. \] Solve for \( A \): \[ A = \frac{24}{3} = 8. \] Thus, there are **8 action films** currently showing.

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Bonus Knowledge

In a theater with a 1:2 ratio of action films to other films, for every 1 action film, there are 2 other films. This means there are a total of \(1 + 2 = 3\) parts in the ratio. Since there are 24 screens in total, you would divide 24 by 3 to find the value of one part. Thus, \(24 \div 3 = 8\). This means there are 8 action films currently showing, while the other films comprise \(8 \times 2 = 16\) screens. So, the number of action films showing is 8!

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