Answer: the number of student tickets is 150
the number of adult tickets is 100
Step-by-step explanation:
Let x represent the number of student tickets sold. for the school play.
Let y represent the number of adult tickets sold for the school play.
250 tickets were sold for a school play. This means are
x + y = 250
x = 250 - y
Students tickets cost $8 and adult tickets cost $10. If $2200 was collected in ticket sales, it means that
8x + 10y = 2200 - - - - - - - -1
Substituting x = 250 - y into equation 1, it becomes
8(250 - y) + 10y = 2200
2000 - 8y + 10y = 2200
- 8y + 10y = 2200 - 2000
2y = 200
y = 200/2 = 100
x = 250 - y
x = 250 - 100
x = 150
