Bella and sophia go to the movie theater and purchase refreshments for their friends. Bella spends a total of 43.50 on 2 drinks and 8 bags of popcorn. Sophia spends a total of 55.75 on 6 drinks and 1 bag of popcorn

The price for each drink is $8.75 and the price for each popcorn is $3.25

Step-by-step explanation:

The question is how much for each drink and popcorn in the movie theater. I believe the prices are also in dollars.

let

price of drink = x

price of popcorn = y

Bella's expenses

2x + 8y = 43.50 ... (i)

Sophia expenses

6x + y = 55.75 ... (ii)

Combine the equation

2x + 8y = 43.50 ... (i)

6x + y = 55.75 ... (ii)

y = 55.75 - 6x

insert the value of y in equation (i)

2x + 8 (55.75 - 6x) = 43.50

2x + 446 - 48x = 43.50

446 - 46x = 43.50

446 - 43.50 = 46x

402.5 = 46x

divide both sides by 46

x = 402.5/46

x = 8.75

insert the value of x in equation (ii)

6x + y = 55.75 ... (ii)

6 (8.75) + y = 55.75

52.5 + y = 55.75

y = 55.75 - 52.50

y = 3.25

The price for each drink is $8.75 and the price for each popcorn is $3.25