Final answer:
To generate a total revenue of $150,000, we can set up a system of equations using the number of tickets sold at each price. The system can be solved to find the values of x and y.
Step-by-step explanation:
In order to determine the number of tickets that need to be sold at each price to generate a total revenue of $150,000, we can set up a system of equations. Let x represent the number of tickets sold at $25 and y represent the number of tickets sold at $40. The total revenue can be calculated by multiplying the number of tickets sold at each price by their respective prices: 25x + 40y = 150,000.
Since we are given that the total number of tickets sold is 5,000, we can write another equation: x + y = 5,000. We can solve this system of equations using substitution or elimination to find the values of x and y.