Movie theater charges $11.00 for an adult ticket and $8.00 for a child's ticket. The ticket sells 124 tickets and brings in $118

Question

3 years ago

8

1.00. How many of each ticket type did they sell?

1 answer:

Romashka-Z-Leto [24] · Answer 1 · 2022-06-09T09:44:36+03:00

Answer:the number of adult tickets that the movie theatre sold is 63.

the number of child's tickets that the movie theatre sold is 61

Step-by-step explanation:

Let x represent the number of adult tickets that the movie theatre sold.

Let y represent the number of child's tickets that the movie theatre sold.

The total number of tickets sold is 124. It means that

x + y = 124

Movie theater charges $11.00 for an adult ticket and $8.00 for a child's ticket. The total cost of the tickets sold is 1181. It means that

11x + 8y = 1181 - - - - - - - - - - - -1

Substituting x = 124 - y into equation 1, it becomes

11(124 - y) + 8y = 1181

1364 - 11y + 8y = 1181

- 11y + 8y = 1181 - 1364

- 3y = - 183

y = - 183/ - 3

y = 61

x = 124 - y = 124 - 61

x = 63