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19 August, 14:18

Joe bought 5 apples and 4 bananas for $6. Dawn bought 3 apples and 6 bananas for $6.30. How much foes each apple and each banana cost?

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  1. 19 August, 17:29
    0
    Apple = $0.6

    Banana = $0.75

    Step-by-step explanation:

    Let us represent Apple by A and Banana by B

    For Joe,

    5A + 4B = 6 (1)

    For Dawn

    3A + 6B = 6.3 (2)

    To eliminate A, Multiply equation (1) by 3 and equation (2) by 5

    15A + 12B = 18 (3)

    15A + 30B = 31.5 (4)

    subtracting equation (4) from (3)

    15A - 15A + 12B - 30B = 18 - 31.5

    -18B = - 13.5

    divide through by - 18

    -18B/-18 = - 13.5/-18

    B = 0.75

    substitute 0.75 in equation (1)

    5A + 4B = 6

    5A + 4 (0.75) = 6

    5A + 3 = 6

    subtract 3 from both sides

    5A + 3 - 3 = 6 - 3

    5A = 3

    divide through by 5

    5A/5 = 3/5

    A = 0.6
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