Final answer:
The cost of the tickets for movie B is $206.67.
Step-by-step explanation:
Let's assign variables to represent the cost of a ticket for movie A and movie B. Let x be the cost of a ticket for movie A and y be the cost of a ticket for movie B.
From the given information, we can write two equations:
- 4x + 5y = 1540
- 5x + 4y = 1460
Using these equations, we can solve for y, which represents the cost of the tickets for movie B.
Multiplying equation 1 by 5 and equation 2 by 4, we get:
- 20x + 25y = 7700
- 20x + 16y = 5840
Subtracting equation 2 from equation 1, we get:
9y = 1860
y = 206.67
Therefore, the cost of the tickets for movie B is $206.67.
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