Answer:the price of a drink is $4.8
Explanation:
Let x represent the price of a bag of popcorn.
Let y represent the price of one drink.
Sophia spends a total of $32.75 on 3 bags of popcorn and 5 drinks. This means that
3x + 5y = 32.75 - - - - - - - - - -1
Paisley spends a total of $51.25 on 6 bags of popcorn and 7 drinks. This means that
6x + 7y = 51.25 - - - - - - - - - - - -2
Multiplying equation 1 by 2 and equation 2 by 1, it becomes
6x + 10y = 65.5
6x + 7y = 51.25
Subtracting, it becomes
3y = 14.25
y = 14.25/3 = 4.75
Substituting y = 4.75 into equation 1, it becomes
3x + 5 × 4.75 = 32.75
3x + 23.75 = 32.75
3x = 32.75 - 23.75 = 9
x = 9/3 = 3