Question

At Friday's football game, 1,294 tickets were sold for a total amount of $8,816.00. If each student ticket costs $5.00, and each adult ticket costs $8.00, how many student tickets were purchased?

Answer 1

512

Explanation:

Answer 2

512 student tickets.

Explanation:

Let x be number of student tickets and y be number of adult tickets.

We have been given that at Friday's football game 1,294 tickets were sold. We can represent this information as:

`x+y=1294...(1)`

We are also told that each student ticket costs $5.00, and each adult ticket costs $8.00 and 1,294 tickets were sold for a total amount of $8,816. We can represent this information as:

`5x+8y=8,816...(2)`

From equation (1) we will get,

`y=1294-x`

Substituting this value in equation (2) we will get,

`5x+8(1294-x)=8,816`

`5x+10352-8x=8,816`

`-3x+10352=8,816`

`-3x=8,816-10352`

`-3x=-1536`

`x=(-1536)/(-3)`

`x=512`

Therefore, 512 student tickets were purchased at Fridays football game.