Question

Does anyone know this?

Answer 1

Pavilion seats: 1000

Lawn seats: 600

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.