1. **State the problem:** Lavonne gave tickets and snack vouchers to her work group members. Each member received the same number of tickets and the same number of snack vouchers. The total tickets given were 30, and the total snack vouchers were 75. We need to find which number of members could evenly divide both 30 tickets and 75 snack vouchers. 2. **Understand the problem:** If each member receives the same number of tickets and vouchers, the number of members must be a divisor of both 30 and 75. 3. **Find the divisors:** - Divisors of 30: 1, 2, 3, 5, 6, 10, 15, 30 - Divisors of 75: 1, 3, 5, 15, 25, 75 4. **Find common divisors:** The common divisors of 30 and 75 are 1, 3, 5, 15. 5. **Check the options:** - A. 10 (not common divisor) - B. 15 (common divisor) - C. 25 (not common divisor) - D. 30 (not common divisor) 6. **Conclusion:** The number of members must be 15. **Final answer:** 15