Question

An acting troupe is holding a performance in an area. They are selling $2 tickets and adult tickets for $4. The arena can hold at most 200 people, and the troupe is hoping to make at least $400 in ticket sales. How many adult tickets must be sold to meet the revenue goal?

A) 50 adult tickets
B) 100 adult tickets
C) 75 adult tickets
D) 80 adult tickets

Answer 1

To meet the revenue goal, we can set up an equation using the number of adult tickets sold and solve for x.

Step-by-step explanation:

To meet the revenue goal of at least $400, we need to find the number of adult tickets that need to be sold. Let's assume the number of adult tickets sold is x. Since the price of an adult ticket is $4, the revenue from adult tickets can be calculated as 4x. The troupe is also selling $2 tickets, so the revenue from these tickets can be calculated as 2(200 - x) since the total number of tickets sold cannot exceed 200. The total revenue should be at least $400, so we can set up the equation: 4x + 2(200 - x) ≥ 400. Solving this equation will give us the number of adult tickets required to meet the revenue goal.