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2 January, 04:15

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

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  1. 2 January, 04:25
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    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
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