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

Answer:

512 student tickets.

Step-by-step 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,

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

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

$-3x+10352=8,816$

$-3x=8,816-10352$

$-3x=-1536$

$x=\frac{-1536}{-3}$

$x=512$

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