Final answer:
To find the regular price per ticket (r) and the matinee price per ticket (m), we can set up a system of equations using the given information and solve for the variables. The total revenue for last Saturday and this Saturday can be calculated by multiplying the respective ticket prices by the number of tickets sold and adding them together.
Step-by-step explanation:
A) To find the regular price per ticket (r), we can set up a system of equations using the information given. Let's assign the regular price per ticket as r and the matinee price per ticket as m. We know that 100 regular price tickets were sold and 150 matinee tickets were sold for a total profit of $2200. This can be expressed as:
100*r + 150*m = 2200
Similarly, we know that 150 regular price tickets were sold and 100 matinee tickets were sold for a total profit of $2300. This can be expressed as:
150*r + 100*m = 2300
Solving these two equations will give us the values of r and m.
B) To find the matinee price per ticket (m), we can use the system of equations mentioned in part A and solve for m.
C) The total revenue for last Saturday can be calculated by multiplying the regular price per ticket by the number of regular price tickets sold and adding it to the product of the matinee price per ticket and the number of matinee tickets sold.
D) The total revenue for this Saturday can be calculated using the same method as part C, but using the values specific to this Saturday's sales.