Final answer:
The number of $6 tickets sold by The El Paso plaza is found by setting up a system of equations based on the price and the total revenue. After solving the equations, it is determined that 25 of the $4 tickets were sold, leading to the conclusion that 50 of the $6 tickets were sold. Therefore, the correct answer is not listed among the given choices.
Step-by-step explanation:
To solve the problem, we need to set up a system of equations based on the given information that The El Paso plaza sells tickets for their shows for a cost of $4 and $6. Let's denote the number of $4 tickets sold as x and the number of $6 tickets sold as y.
The first equation comes from the total number of tickets sold:
x + y = 75 (1)
The second equation is made from the total revenue from ticket sales:
4x + 6y = 400 (2)
To solve this system, we can multiply the first equation by 4, which gives us
4x + 4y = 300 (3)
Subtracting equation (3) from equation (2) gives us 2y = 100, which simplifies to y = 50.
Now, we substitute y = 50 back into equation (1):
x + 50 = 75x = 25
This means that 25 of the $4 tickets were sold. Since the question asks for the number of $6 tickets sold, we take the total number of tickets (75) and subtract the number of $4 tickets (25) to get 50 tickets. Thus, option b) 35 is incorrect, and the correct answer is not listed among the choices provided.