Question

In a theater, the tickets cost $23 per adult and $15 per child. The auditorium has 250 seats, and the total ticket revenue for the event is $4,846. How many adults and children are in the theater?

A. 100 adults and 150 children
B. 120 adults and 130 children
C. 110 adults and 140 children
D. 90 adults and 160 children

Answer 1

There are 110 adults and 140 children in the theater.

The correct answer is C.

Step-by-step explanation:

Let's assume that the number of adults in the theater is 'x' and the number of children is 'y'.

According to the given information, the total number of seats in the theater is 250. So, we can write the equation: x + y = 250.

Now, let's calculate the total ticket revenue. The cost of an adult ticket is $23 and the cost of a child ticket is $15. So, the equation for the total ticket revenue is: 23x + 15y = 4846.

Solving these two equations, we can find the values of 'x' and 'y'.

After solving the equations, we get:

x = 110 adults

y = 140 children