To find out how many students were on each bus, let's set up an equation based on the information provided.
Let \( x \) be the number of students on each bus.
Since there are 9 buses and all are filled, the total number of students that can be accommodated by the buses alone would be \( 9x \).
According to the problem, there were 8 students who had to travel in cars, which means that out of the total 449 students, 441 students were on the buses. Therefore, we can set up the equation:
\[ 9x + 8 = 449 \]
Now, let's solve for \( x \):
- Subtract 8 from both sides:
\[ 9x = 449 - 8 \]
\[ 9x = 441 \]
- Divide both sides by 9:
\[ x = \frac{441}{9} \]
\[ x = 49 \]
Thus, the solution is:
\[ x = 49 \]
So, there were 49 students on each bus.