Question

One evening 1400 concert tickets were sold for the Fairmont Summer Jazz Festival. Tickets cost ​$20 for covered pavilion seats and​ $10 for lawn seats. Total receipts were ​$22,000. How many tickets of each type were​ sold?

Answer 1

The number of tickets for covered pavilion seats sold was 800 and the number of tickets for lawn seats sold was 600

Explanation:

Let

x ----> the number of tickets for covered pavilion seats sold

y ---> the number of tickets for lawn seats sold

we know that

`x+y=1,400` -----> equation A

`20x+10y=22,000` ----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (800,600)

see the attached figure

therefore

The number of tickets for covered pavilion seats sold was 800 and the number of tickets for lawn seats sold was 600