The total tickets sold was 197.
a + c = 197
We need to solve this for a or c. Let's do a.
a = 197 - c
The total made was $1449.50
8.5a + 5.5c = 1499.5
Now, substitute 197 - c for a, since they are equal.
8.5(197 - c) + 5.5c = 1449.5
I bet you can solve for c. Then, substitute that answer for c in the first equation and solve for a.