1. **State the problem:** We need to find out if Amelia's family and Manuel's family pay the same amount for tickets to the corn maze, given the costs of child, adult, and senior tickets. 2. **Define variables:** Let $c$ be the cost of a child ticket. 3. **Express other ticket costs:** - Adult ticket costs $c + 4$ - Senior ticket costs $c + 3$ 4. **Calculate total cost for Amelia's family:** - 3 children: $3c$ - 2 adults: $2(c + 4) = 2c + 8$ - Total: $$3c + 2c + 8 = 5c + 8$$ 5. **Calculate total cost for Manuel's family:** - 2 children: $2c$ - 1 adult: $c + 4$ - 2 seniors: $2(c + 3) = 2c + 6$ - Total: $$2c + (c + 4) + 2c + 6 = 5c + 10$$ 6. **Compare totals:** - Amelia's family pays $5c + 8$ - Manuel's family pays $5c + 10$ 7. **Conclusion:** Since $5c + 10 > 5c + 8$, Manuel's family pays more. **Final answer:** Manuel's family pays more for the tickets.