Question

At the afternoon matinee movie, 2 adult tickets and 4 child tickets cost $32, and 4 adult tickets and 3 child tickets cost $44. Which two equations can be used to determine the price of each ticket? Let x represent the cost of an adult ticket and y represent the cost of a child ticket.

Answer 1

2x + 4y = 32

4x + 3y = 44

Explanation:

From the information supplied in the question, we can see that 2 adult tickets and 4 child tickets cost $32. This means we multiply the cost of an adult ticket by 2 and add it to the product of 4 child tickets and its price I.e y.

We can also see that to get a total cost of $44, 4 adult tickets and 3 child tickets were bought. Hence, we simply multiply the cost of an adult ticket by 4 and add it to the product of 3 child ticket and its price