The local theater is showing a matinee and offering a special deal for the community. a ticket for an adult costs $11 and a ticket for a child is $6. the theater sells a total of 60 tickets and collects $460. how many adult tickets x and children tickets y are sold ?

We will call an adult ticket a, and a child ticket c.

Since they sold 60 tickets in total, we can form the equation:
a + c = 60

We can also say that the sum of money from the adult tickets and child tickets combined is 460.
Thus we can say
11a + 6c = 460

Now, we must solve our system.

a + c = 60
11a + 6c = 460

6a + 6c = 360
11a + 6c = 460

-5a = -100
a = 20

Thus, (20) + c = 60
c = 40

a = 20 and c = 40