Question

The total number of people at a football game was 5600. Field-side tickets were 40 dollars and end-zone tickets were 20 dollars. If the total amount of money received for the tickets was $134000, how many of each kind of ticket were sold

Answer 1

1100 field-side tickets and 4500 end-zone tickets.

Explanation:

Let x represent number of field side tickets and y represent number of end-zone tickets.

We have been given that the total number of people at a football game was 5600. We can represent this information in an equation as:

`x+y=5600...(1)`

`y=5600-x...(1)`

We are also told that Field-side tickets were 40 dollars and end-zone tickets were 20 dollars.

Cost of x field side tickets would be
`40x` and cost of y end-zone tickets would be
`20y`.

The total amount of money received for the tickets was $134000. We can represent this information in an equation as:

`40x+20y=134000...(2)`

Upon substituting equation (1) in equation (2), we will get:

`40x+20(5600-x)=134000`

`40x+112000-20x=134000`

`20x+112000=134000`

`20x+112000-112000=134000-112000`

`20x=22000`

`(20x)/(20)=(22000)/(20)`

`x=1100`

Therefore, 1100 field side tickets were sold.

Upon substituting
`x=1100` in equation (1), we will get:

`y=5600-1100`

`y=4500`

Therefore, 4500 end-zone tickets were sold.