1. **State the problem:** Jabari needs 575 tickets to get a prize. He already has 210 tickets and earns 31 tickets each time he plays a game. We need to find how many games he must play to have at least 575 tickets. 2. **Set up the equation:** Let $x$ be the number of games Jabari plays. Total tickets after playing $x$ games = tickets he already has + tickets earned from playing games $$210 + 31x \geq 575$$ 3. **Solve the inequality:** Subtract 210 from both sides: $$\cancel{210} + 31x - \cancel{210} \geq 575 - 210$$ $$31x \geq 365$$ 4. **Divide both sides by 31:** $$\frac{31x}{\cancel{31}} \geq \frac{365}{31}$$ $$x \geq \frac{365}{31}$$ Calculate the division: $$x \geq 11.77$$ 5. **Interpret the result:** Since Jabari cannot play a fraction of a game, he must play at least 12 games to have enough tickets. **Final answer:** Jabari must play **12** games to have enough tickets to win the prize.