21) Diana's school is selling tickets to their fall musical.
They sold 3 adult tickets and 8 children's tickets and made $66.
The next day they sold 8 adult tickets and 15 children's tickets
and took in$147.50. What is the price each of one adult ticket
and one child ticket?

Adult price is $10 and child is $4.5

Step-by-step explanation:

In this case we can solve it using a 2x2 system of equations, like this:

let x: price of adult tickets

let y: price of children tickets

So:

3*x + 8*y = 66

8*x + 15*y = 147.5 => x = (147.5 - 15*y)/8

Replacing, we are left with that:

3*((147.5 - 15*y)/8) + 8*y = 66

55.3125 - 5.625* y + 8* y = 66

8* y - 5.625* y= 66 - 55.3125

2.375* y = 10.6875

y = 10.6875/2.375

y = 4.5

Now to calculate x:

x = (147.5 - 15*4.5)/8

x = 10

which means the adult price is $10 and the child is $4.5

there are no short passages to look at

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00