Question
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
Upstudy AI Solution
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.
Answered by UpStudy AI and reviewed by a Professional Tutor
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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!