To determine how many tickets Joseph can buy, we first need to find out how much money he has left after purchasing the hat.
- Cost of the hat: $12.50
- Total amount Joseph has: $34.25
Now, subtract the cost of the hat from the total amount:
\[ 34.25 - 12.50 = 21.75 \]
Now, with the remaining amount of $21.75, we need to see how many tickets Joseph can buy. The cost of each ticket is $7.25.
Now, divide the remaining amount by the cost of each ticket:
\[ \frac{21.75}{7.25} \approx 3 \]
So, Joseph can buy 3 tickets. The answer is:
3 tickets