Question

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

Answer 1

let x = # of adult tickets sold
let y = # of children tickets sold

It makes sense that the $ they make will be $11 * the # of adult tickets sold + $6 * the # of children tickets sold.

Therefore, write an equation using variables defined:

460 = 11x + 6y.

Additionally, we know the total # of tickets is 60, therefore:

x + y = 60
Solve for y: y = 60 - x

We now have 2 equations:
y = 60-x
460 = 11x+6y

Use substitution:
460 = 11x+6(60-x)
460=11x+360-6x
100=5x
20=x

20 adult tickets are sold.

Now use your found x value to find y.
Let us use the equation x+y=60.

20+y=60
y=40

20 adult tickets
40 children tickets