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