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7 May, 07:58

Camila spends a total of $37.25 on 3 bags of popcorn and 2 drinks. Brooklyn spends a total of $88.50 on 6 bags of popcorn and 6 drinks.

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  1. 7 May, 09:13
    0
    So whats the question?

    Step-by-step explanation:

    You've told me the information. Now you all you need to do is tell me the question : V
  2. 7 May, 09:27
    0
    complete question:

    Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.

    Camila spends a total of $37.25 on 3 bags of popcorn and 2 drinks. Brooklyn spends a total of $88.50 on 6 bags of popcorn and 6 drinks.

    Answer:

    The price of a bag of pop corn is $7.75 and the price of a drink is $7.

    Step-by-step explanation:

    let

    a = price of a bag of popcorn

    b = price of a drink

    Camilla expenses

    3a + 2b = 37.25 ... (i)

    Brooklyn expenses

    6a + 6b = 88.50 ... (ii)

    Bringing the equations together

    3a + 2b = 37.25 ... (i)

    6a + 6b = 88.50 ... (ii)

    make a the subject of the formula in equation (ii)

    6a + 6b = 88.50

    6a = 88.50 - 6b

    divide through by 6

    a = 88.50 / 6 - b

    a = 14.75 - b

    insert the value of a in equation (i)

    3a + 2b = 37.25 ... (i)

    3 (14.75 - b) + 2b = 37.25

    44.25 - 3b + 2b = 37.25

    44.25 - b = 37.25

    b = 44.25 - 37.25

    b = 7

    insert the value of b in equation (i)

    3a + 2b = 37.25 ... (i)

    3a + 2 (7) = 37.25

    3a + 14 = 37.25

    3a = 37.25 - 14

    3a = 23.25

    divide both sides by 3

    a = 23.25/3

    a = 7.75

    The price of a bag of pop corn is $7.75 and the price of a drink is $7.
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