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
