One evening 1500 concert tickets were sold for the Fairmont Summer Jazz Festival. Tickets

cost $25 for covered pavilion seats and $20 for lawn seats. Total receipts were $35,000. How
many of each type of tickets were sold?

Let x equal the number of pavilion seats sold.
Let y equal the number of lawn seats sold.

Complete the system of equations.

x + y =
number of pavilions seats (x) + number of lawn seats (y) = $35,000

To complete the system of equations, we need one more equation. We can use the information provided about the number of tickets sold and their prices.

Given that the total number of tickets sold is 1500, we can write the equation:

x + y = 1500 (Equation 1)

Furthermore, we are given that the total receipts from selling the tickets are $35,000. Since pavilion seats cost $25 and lawn seats cost $20, we can write another equation using the cost of each type of ticket:

25x + 20y = 35000 (Equation 2)

Now we have a system of equations:

x + y = 1500 (Equation 1)
25x + 20y = 35000 (Equation 2)

To solve this system of equations, we can use various methods, such as substitution, elimination, or graphing.

The total number of pavilion seats sold (x) multiplied by the cost per pavilion seat ($25) plus the total number of lawn seats sold (y) multiplied by the cost per lawn seat ($20) equals the total receipts ($35,000):

25x + 20y = 35,000

number of pavilions seats(x) = x

number of lawn seats(y) =( 1500 - x)

number of pavilions seats (x) number of lawn seats (y) = $35,000
$25x $20(1500 - x) = $35,000

Hope you can go on from here.