To solve this problem, we need to set up an equation based on the information given:

1. Initial number of people on the bus: 13.
2. People getting off the bus: 5.
3. People getting on the bus: 11.

The equation for the total number of people on the bus after these changes would be: $13 - 5 + 11$

Now, let's calculate this step-by-step:

1. First, subtract the 5 people who got off: $13 - 5 = 8$

2. Then, add the 11 people who got on: $8 + 11 = 19$

So, the final answer is 19.

The equation that answers the word problem is: $13 - 5 + 11 = 19$

Would you like more details on how this equation was set up, or do you have any questions?

Related Questions:

1. How do you set up an equation for a similar scenario where people get on and off at multiple stops?
2. What would the answer be if only 3 people got off and 15 got on?
3. How would you write an equation if there were initially 20 people on the bus?
4. Can this problem be solved by first adding and then subtracting? Why or why not?
5. What other methods could you use to check if your answer is correct?

Tip:

When solving word problems, always list the information step-by-step to make setting up the equation easier.