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5 January, 03:27

Briana bought 3 bottles of ketchup and 2 bottles of mustard and for $11.85. Logan bought 2 bottles of ketchup and 5 bottles of mustard for $13.73. Find the cost of each.

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  1. 5 January, 05:17
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    Answer:The cost of ketchup bottle, x = 2.89The cost of mustard bottle, y = 1.59

    Step-by-step explanation:

    Let the ketchup be represented as x and mustard as y

    Briana bought 3 bottles of ketchup and 2 bottles of mustard and for $11.85

    3x + 2y = 11.85 ... (1)

    Logan bought 2 bottles of ketchup and 5 bottles of mustard for $13.73.

    2x + 5y = 13.73 ... (2)

    Multiplying eq (1) by 2, we get

    6x + 4y = 23.7 ... (3)

    Multiplying eq (2) by 3, we get

    6x + 15y = 41.19 ... (4)

    Subtracting eq (3) from (4),

    we get 11y = 17.49

    y = 1.59, substitute it in eq (1), we get

    x = 2.89

    Therefore, the cost of ketchup bottle, x = 2.89

    The cost of mustard bottle, y = 1.59
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