write a system of inequalities

Question

carlos works at a movie theater selling tickers. the theater has 300 seats and charges $7.50 for adults and $5.50 for children. the theater expects to make at least $2000 for each showing

Answer 1

Let's denote the number of adult tickets sold as "a" and the number of children tickets sold as "c".

Since the theater expects to make at least $2000 for each showing, we can set up the inequality: 7.50a + 5.50c ≥ 2000

Additionally, we know that the theater has 300 seats available, so we can set up another inequality: a + c ≤ 300

Therefore, the system of inequalities would be:
7.50a + 5.50c ≥ 2000
a + c ≤ 300