Answer: 114 adult tickets and 212 students tickets were sold.
Step-by-step explanation:
Let x represent the number of adult tickets that were sold.
Let y represent the number of student tickets that were sold.
A total of 326 adult and student tickets were sold for a high school play. This means that
x + y = 326
The ticket prices were $8 for adults and $5 for students. If a total of $1,972 was collected from ticket sales, it means that
8x + 5y = 1972 - - - - - - - - - - - - - -1
Substituting x = 326 - y into equation 1, it becomes
8(326 - y) + 5y = 1972
2608 - 8y + 5y = 1972
- 8y + 5y = 1972 - 2608
- 3y = - 636
y = - 636/-3
y = 212
x = 326 - y = 326 - 212
x = 114
