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A total of 633 tickets were sold for the school play. They were either adult tickets or student tickets. There were 67 fewer student tickets sold then adult tickets. How many tickets were sold?

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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.

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