Question

Write the system of inequalities Carlos works at a movie theater selling tickets. 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

Answer:

x + y ≤ 300

7.50x + 5.50y ≥ 2000

Step-by-step explanation:

It is given that the theater hall has 300 seats.

If there are x adults and y children then they must satisfy the following inequality that  

x + y ≤ 300 ...... (1)

Now, it is also given that the charge for tickets for adults is $7.50 per ticket and that for children is $5.50 per ticket and the theater expects to make at least $2000 for each show.

Therefore, the following inequality can be written as

7.50x + 5.50y ≥ 2000 ....... (2)

Hence, the inequality equations (1) and (2) can be written from the given data. (Answer)