There are 50 students in a class. The teacher gave them a test with a maximum score of 100 points. If the average score of the class was 75 points, what is the sum of all the scores of the students?
To solve this problem, let's use the following steps:

1. We know that there are 50 students in the class.
2. We also know that the average score of the class is 75 points.
3. Since the average represents the sum of all the scores divided by the number of students, we can write the equation: Sum of scores / Number of students = Average score
4. Plugging in the values from the problem, we get: Sum of scores / 50 = 75
5. To find the sum of all the scores, we simply multiply both sides of the equation by 50: Sum of scores = 50 * 75

The sum of all the scores of the students is 3750 points.