A theater is selling tickets to a show. They sell adult and children’s tickets. The theater wants to sell a minimum of 100 tickets and make at least $2600. A child’s ticket costs $16 and an adult’s ticket costs $32. Which system of inequalities represents this situation? Let c represent the number of children’s tickets and a represent the number of adult’s tickets.
c + a ≥ 100
16c + 32a ≥ 2600