Final answer:
An individual ticket costs $10.50.
Step-by-step explanation:
To solve this problem, let's denote the cost of an individual ticket as T. We know that both Janessa and Aliyah bought tickets that cost the same amount, so the total cost of the tickets is 2T.
Together, they spent 6 on nachos, so the total cost of their tickets and nachos is 2T + 6. And since they spent a total of 27, we can write the equation:
2T + 6 = 27
Now, let's solve for T:
2T = 27 - 6 = 21
Dividing both sides of the equation by 2, we get:
T = 21 ÷ 2 = 10.50
Therefore, an individual ticket costs $10.50. Answer choice A) is correct.