Let's break down the problem into an equation to solve for the number of students on each bus.

Problem:

• Total students = 449
• Buses = 9
• Extra students traveling by car = 8

We know that the total number of students, 449, consists of those traveling by bus and those traveling by car. Since there are 8 students in cars, the remaining students must have traveled by bus.

So, the number of students traveling by bus is:

$\text{Students on buses} = 449 - 8 = 441$

Now, we divide this number of students among the 9 buses. Let $x$ represent the number of students on each bus. The equation is:

$9x = 441$

To solve for $x$, divide both sides of the equation by 9:

$x = \frac{441}{9} = 49$

Solution:

Each bus carried 49 students.

---

Would you like more details on how the solution was reached, or do you have any further questions?

Related Questions:

1. How can we check the solution to ensure it's correct?
2. What would happen if there were 10 buses instead of 9?
3. How many more students would need to be accommodated if the number of buses increased to 12?
4. If the number of students traveling by car was increased to 15, how would that affect the number of students per bus?
5. What is the total number of students traveling by bus if 9 buses are filled and 10 students travel by car?

Tip:

To solve word problems like this, first identify the total number of students, subtract any exceptions (like the students in cars), and then divide the remaining students evenly among the buses.