5 adult tickets and 3 student tickets were purchased.
Step-by-step explanation:
Given,
Cost of one adult ticket = $7.25
Cost of one student ticket = $5.50
Total tickets purchased = 8
Total amount spent = $52.75
Let,
Number of adult tickets = x
Number of student tickets = y
According to given statement;
x+y=8 Eqn 1
7.25x+5.50y=52.75 Eqn 2
Multiplying Eqn 1 by 5.50

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 1.75

Putting x=5 in Eqn 1

5 adult tickets and 3 student tickets were purchased.
Keywords: linear equation, subtraction
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