Question

Four tickets for movie A and five tickets for movie B cost 1540 but five tickets for movie Aand four tickets for movie B cost 1460. What is the cost of the tickets for movie B? (1) 450 (2) 400 (3) 333.34 (4)1206.67

Answer 1

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:

1. 4x + 5y = 1540
2. 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:

1. 20x + 25y = 7700
2. 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.

Learn more about movie ticket cost