Question

Tickets to a newly released movie cost $12 but senior citizen tickets cost $6. A total of 20 tickets were sold and $192 was collected in ticket sales. How many tickets, of each kind, were sold?

Answer 1

Answer: 8 senior tickets, 12 normal tickets.

Explanation:

You can find the answer to this by creating two equations: one for the amount of tickets sold and the other for how much money was collected.

I will represent the variables as A for normal tickets and C for senior tickets.

`A + C = 20\\12A + 6C = 192`

To solve this, you can solve for one of the variables. I will solve for A in the first equation:

`A = 20-C\\12A + 6C = 192`

Then, you can substitute the new value of A in the second equation:

`12(20-C) + 6C = 192\\240-12C+6C=192\\240-6C=192\\-6C=-48\\C=8`

Knowing that there were 8 senior tickets sold and 20 tickets sold total, we know that there were 12 normal tickets sold.