The ensemble is selling tickets to a performance. An adult ticket costs $9 and a child's ticket costs $4. The students would like ticket sales of at least $1300, and the auditorium can hold no more than 200 audience members. Let x = The number of adult tickets, and let y = The number of child tickets.

Step-by-step explanation:

Let x represent the number of adult tickets that were sold.

Let y represent the number of children tickets that were sold.

The auditorium can hold no more than 200 audience members. This means that

x + y ≤ 200

An adult ticket costs $9 and a child's ticket costs $4. The students would like ticket sales of at least $1300. This means that

9x + 4y ≥ 1300

These are the set of inequalities that represents the situation.