Question

Jordan and his family are going to the movies in a van that can hold up to 9 people. At the theater, adult tickets cost $3.75 and child tickets cost $2.25. If they spend no more than $24.00 on admission, which system of inequalities below can be used to determine the number of adults (a) and children (c) who can attend the movie?

Answer 1

The system of inequalities that can be used to determine the number of adults and children who can attend the movie while spending no more than $24.00 on admission.

Step-by-step explanation:

To determine the number of adults(a) and children(c) who can attend the movie while spending no more than $24.00 on admission, we can use the system of inequalities:

a + c ≤ 9 (The van can hold up to 9 people)

3.75a + 2.25c ≤ 24.00 (The total cost of tickets should be no more than $24.00)

This system of inequalities represents the constraint that the total number of people attending should not exceed 9, and the total cost of tickets should not exceed $24.00. By solving these inequalities, we can determine the possible values for a and c.