Question

Does anyone know this?

Answer 1

Answer:

Pavilion seats: 1000

Lawn seats: 600

Step-by-step explanation:

Let p represent tickets for pavilion seats and l represent that of lawn seats

Then the total number of tickets is

$p + l = 1600....(1)$

The total revenue is

$25p + 15l = 34000....(2)$

We make p the subject in the first equation:

This implies that:

$p = 1600 - l.....(3)$

Put equation (3) into equation (2).

This gives us:

$25(1600 - l) + 15l = 34000$

Expand to get:

$40000 - 25l + 15l = 34000$

Group similar terms:

$- 25l + 15l = 34000 - 40000$

Simplify to get

$- 10l = - 6000$

$\implies \: l = 600$

Put l=600 into equation (3) to get:

$p = 1600 - 600 = 1000$

Therefore 1000 pavilion seats and 600 lawn seats were sold.