Final answer:
Catherine bought 7 tickets of each price category. We found this by setting up an equation based on the prices of the tickets and the total amount spent, then solving for the number of tickets.
Step-by-step explanation:
To solve the problem of how many concert tickets Catherine bought, we can set up an equation. Let x be the number of each type of ticket she bought. Thus, we have:
11x + 9x + 8x = 196
We combine like terms to find:
28x = 196
Now, divide both sides by 28 to find:
x = 7
Therefore, Catherine bought 7 tickets of each price category.