write a system of inequalities
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
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