Question

Adult tickets for the game cost $4 each and student tickets cost $3 each. A total of 105 tickets worth $380 were sold. How many student tickets were sold?

Answer 1

40 Tickets sold.

Thank me later.

Answer 2

There were 40 student tickets sold.

Explanation:

First I set up equations to represent this situation.

4x+3y=380

x+y=105

x represents the adult tickets and y represents the student tickets.

I can solve this with the elimination method. I want to cancel out the x so I will multiply every term in equation 2 by -4.

4x+3y=380

-4x-4y=-420

Now I combine like terms.

-y=-40

I can divide the negative one from both sides.

y=40