[tex]here \: is \: your \: answer[/tex]

Let's solve this problem step by step.

Let's assume there are "x" benches in the class.

Since three students sit on each bench, the total number of students sitting on benches would be 3 × x = 3x.

Now, we are given that when three students sit on each bench, there are 4 students left. This means that the total number of students must be equal to 3x + 4.

Let's move on to the second scenario.

If four students sit on each bench, the total number of students sitting on benches would be 4 × x = 4x.

We are given that when four students sit on each bench, there is one student left. So the total number of students must be equal to 4x + 1.

Since the total number of students remains the same in both scenarios, we can equate the two expressions:

3x + 4 = 4x + 1

Simplifying this equation, we get:

3x - 4x = 1 - 4

-x = -3

x = 3

So, there are 3 benches in the class.

To find the number of students, we substitute the value of x back into one of the expressions:

3x + 4 = 3 ,× 3 + 4 = 9 + 4 = 13

Therefore, there are 13 students in the class.

To summarize, there are 3 benches and 13 students in the class.