Joseph wants to buy tickets for the basketball game and a team had to wear to the game. He has $34.25 if the hat cost $12.50 and tickets cost $7.25 each how many tickets can he buy?

To find the number of tickets Joseph can buy, first subtract the cost of the hat from his total money: $34.25 - $12.50 = $<<34.25-12.50=21.75>>21.75.

Then divide the remaining money by the cost of each ticket: $21.75 / $7.25/ticket = <<21.75/7.25=3>>3 tickets. Answer: \boxed{3}.