To solve this problem, we need to determine the value of x, which represents the number of episodes in the TV mini series.
We know that each episode is 50 minutes long. Let's convert 5 hours to minutes:
5 hours = 5 * 60 = 300 minutes
If Erin watches all of the episodes in one sitting, one after the other with no breaks, she will spend 300 minutes watching the series.
Since each episode is 50 minutes long, we can set up the equation as follows:
Number of episodes * Length of each episode = Total time spent watching the series
x * 50 = 300
Let's simplify and solve for x:
50x = 300
To isolate x, we divide both sides of the equation by 50:
50x / 50 = 300 / 50
x = 6
The value of x is 6. Therefore, there are 6 episodes in the TV mini series.
#### 6
The answer is: 6
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
Erin is watching a TV mini series of Pride and Prejudice. There are x episodes that are each 50 minutes long. If Erin watches all of the episodes in one sitting, one after the other with no breaks, She will spend 5 hours watching the series.

### Answer:
