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 costs $6. The theater sells a total of 60 tickets and collects $460. *

How many adult tickets "x" and children tickets "y" are sold?

First, x+y=60 and solve for x

x = 60-y

Then set up the equation 11x+6y=460

Since, x=60-y, you plug in for y

11 (60-y) + 6y=460

660-11y+6y=460

660-5y=460

660-660-5y=460-660

-5y=-200

Divide both sides by 5 (you can drop the negative because they are both negative)

5y/5 = 200/5

y=40

Then take y & plug it back into the original equation of:

x+y = 60 (solve for x)

x+40=60

x+40-40=60-40

x=20

The answer is 20 adult tickets (x) and 40 child tickets (y) were sold.