Jabari needs 575 tickets to get the prize he wants at the arcade. He already has 210 tickets and can earn 31 tickets each time he plays an arcade game.

How many games will he have to play in order to have enough tickets to win the prize he wants?

Jabari needs to earn 575 - 210 = <<575-210=365>>365 more tickets.

Therefore, he needs to play 365 / 31 = 11.774193548387096 games.
Since he can't play a fraction of a game, Jabari will have to play 12 games to have enough tickets to win the prize he wants. Answer: \boxed{12}.