Final answer:
350 adult tickets and 283 student tickets were sold for the school play.
Step-by-step explanation:
Let's assume that x represents the number of adult tickets sold.
Given that there were 67 fewer student tickets sold than adult tickets, the number of student tickets sold can be represented as x - 67.
Since the total number of tickets sold is 633, we can set up the equation:
x + (x - 67) = 633
Simplifying the equation:
2x - 67 = 633
Adding 67 to both sides of the equation:
2x = 700
Dividing both sides of the equation by 2:
x = 350
Therefore, the number of adult tickets sold is 350, and the number of student tickets sold is 350 - 67 = 283.