Question

The movie theater sells a total of 100 tickets and makes a total of $880. If the theater charges $6 per child's ticket and $10 per adult's ticket. How many of each type of ticket did they sell?

Answer 1

Answer:the number of children tickets that were sold is 30.

the number of adult tickets that were sold is 70

Step-by-step explanation:

Let x represent the number of children tickets that were sold.

Let y represent the number of adult tickets that were sold.

The movie theater sells a total of 100 tickets. This means that

x + y = 100

The theater charges $6 per child's ticket and $10 per adult's ticket. The movie theater made a total of $880. It means that

6x + 10y = 880 - - - - - - - - - - -1

Substituting x = 100 - y into equation 2, it becomes

6(100 - y) + 10y = 880

600 - 6y + 10y = 880

- 6y + 10y = 880 - 600

4y = 280

y = 280/4 = 70

x = 100 - y = 100 - 70

x = 30