Final answer:
Dylon can take a maximum of 6 friends with him to the movies.
Step-by-step explanation:
Dylon has $50 of birthday money to spend on movie tickets. He needs to take one adult with him. An adult ticket costs $9.75, leaving Dylon with $40.25 to spend on child tickets. Let's assume Dylon wants to maximize the number of child tickets he can buy. Each child ticket costs $6.25. To find the maximum number of child tickets Dylon can buy, we divide the remaining amount by the cost of a child ticket: $40.25 / $6.25 = 6.44. Since we can't have a fraction of a ticket, the maximum number of child tickets Dylon can buy is 6. Therefore, the maximum number of friends Dylon can take with him to the movies is 6.