Answer: 570 adult tickets and 215 children tickets were sold
Explanation:
Let x represent the number of adult tickets that were sold for the movie Saturday.
Let y represent the number of children tickets that were sold for the movie Saturday.
One Saturday the theater sold 785 tickets. This means that
x + y = 785
The movie theater charges 5 for an adult ticket and 2 for a child's ticket. The total sales on Saturday was 3280. This means that
5x + 2y = 3280 - - - - - - - - - - --- 1
Substituting x = 785 - y into equation 1, it becomes
5(785 - y) + 2y = 3280
3925 - 5y + 2y = 3280
- 5y + 2y = 3280 - 3925
- 3y = - 645
y = - 645/- 3
y = 215
x = 785 - y = 785 - 215
x = 570