1. **State the problem:** Rashid starts with 45 wristbands and gives 3 wristbands to each group of students. He needs to return for more wristbands when he has fewer than 9 left. We want to find how many groups he can give wristbands to before needing more. 2. **Define variables and formula:** Let $n$ be the number of groups Rashid can give wristbands to. Each group receives 3 wristbands, so the total wristbands given out is $3n$. 3. **Set up inequality:** Rashid must have at least 9 wristbands left before he returns for more. So, $$45 - 3n \geq 9$$ 4. **Solve the inequality:** $$45 - 3n \geq 9$$ Subtract 45 from both sides: $$-3n \geq 9 - 45$$ $$-3n \geq -36$$ Divide both sides by -3 (remember to reverse inequality sign): $$n \leq 12$$ 5. **Interpretation:** Rashid can give wristbands to at most 12 groups before he has fewer than 9 wristbands left and needs to get more. **Final answer:** Rashid can give wristbands to **12 groups** before needing more.