To find out how many tickets Joseph can buy, we first need to subtract the cost of the hat from his total amount of money.
- Total money Joseph has: $34.25
- Cost of the hat: $12.50
Subtract the cost of the hat from the total money:
\[ 34.25 - 12.50 = 21.75 \]
Joseph has $21.75 left to spend on tickets.
Next, we need to figure out how many tickets he can buy with the remaining money:
- Cost of each ticket: $7.25
Now, divide the remaining money by the cost of each ticket:
\[ \frac{21.75}{7.25} \approx 3 \]
Joseph can buy 3 tickets.
Therefore, the answer is:
3 tickets