Sophia and paisley go to the movie theater and purchase refreshments for their friends. sophia spends a total of $32.75 on 3 bags of popcorn and 5 drinks. paisley spends a total of $51.25 on 6 bags of popcorn and 7 drinks.

the price of a drink is $4.8

Step-by-step 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

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step-by-step explanation:

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step-by-step explanation: