1. **State the problem:** We have a banquet room that can seat a maximum of 69 people. The coach, principal, and vice principal are attending along with the 22 girls on the tennis team. We want to find out how many guests each tennis team member can bring. 2. **Identify known values:** - Maximum seating capacity: $69$ - Number of tennis team members: $22$ - Number of adults (coach, principal, vice principal): $3$ 3. **Set up the equation:** Let $x$ be the number of guests each tennis team member can bring. Total people = adults + tennis team members + guests brought by tennis team members $$3 + 22 + 22x \leq 69$$ 4. **Solve the inequality:** $$3 + 22 + 22x \leq 69$$ $$25 + 22x \leq 69$$ $$22x \leq 69 - 25$$ $$22x \leq 44$$ $$x \leq \frac{44}{22}$$ $$x \leq 2$$ 5. **Interpretation:** Each tennis team member can bring up to 2 guests to not exceed the room capacity. **Final answer:** Each student can bring 2 guests.