Question

Makayla and Alexandra go to the movie theater and purchase refreshments for their friends.

Answer 1

Answer:

The drink cost $10 and Popcorn cost $10.25

Step-by-step explanation:

Let B represents Pop corn

Let D represents Drinks

We create our equation as

1B + 6D= 70.25..........Equ i

5b + 12D =171.25.......Equ ii

Kindly check attached picture for the workings

Answer 2

Answer:

Drinks cost $10 and bag of popcorn $10.25

Step-by-step explanation:

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

let x: price of bag of popcorn

let y: price of drinks

So:

1 * x + 6 * y = 70.25 => x = 70.25 - 6 * y

5 * x + 12 * y = 171.25  

Replacing, we are left with that:

5 * (70.25 - 6 * y) + 12 * y = 171.25  

351.25 - 30 * y + 12 * y = 171.25

- 30 * y + 12 * y = 171.25 - 351.25

-18 * y = -180

y = 180/18

y = 10

Now to calculate x:

x = 70.25 - 6 * 10

x = 10.25

this means that the drinks cost $10 and bag of popcorn $10.25