5
algebraA theater sold 300 tickets for a play. Adult tickets cost $12 and student tickets cost $8. Total revenue was $2,800. How many adult tickets were sold?
A
100 adult tickets
B
150 adult tickets
C
125 adult tickets
D
175 adult tickets
Correct Answer: A
Choice A is the correct answer. Let = adult tickets and = student tickets.
Step 1: Set up the system:
Step 2: From first equation:
Step 3: Substitute:
Solution: 100 adult tickets (and 200 student tickets)
Verification: ✓ and ✓
💡 Strategic Tip: Revenue problems: tickets × price = total revenue.
Choice B is incorrect because .
Choice C is incorrect because .
Choice D is incorrect because .