To determine how many tickets Joseph can buy, we first need to subtract the cost of the hat from the total amount he has.
Joseph's total money: $34.25
Cost of the hat: $12.50
Amount left after buying the hat:
$34.25 - $12.50 = $21.75
Next, we find out how many tickets he can buy with the remaining amount. The cost of each ticket is $7.25. We can calculate the number of tickets by dividing the remaining amount by the price of a ticket:
Number of tickets = Remaining amount / Price per ticket
Number of tickets = $21.75 / $7.25 = 3
Joseph can buy 3 tickets.