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16 December, 12:35

Salama makes fruit baskets with oranges and bananas.

She uses between 8 and 16 oranges and bananas in a ratio of 3 oranges to 2 bananas. what is the ratio for the problem.

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  1. 16 December, 13:17
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    The ratio for problem is:

    oranges : bananas = 9 : 6 or oranges : bananas = 6 : 4

    Solution:

    Given that, Salama makes fruit baskets with oranges and bananas

    She uses between 8 and 16 oranges and bananas in a ratio of 3 oranges to 2 bananas

    Given ratio is:

    Ratio of orange to bananas = 3 : 2

    They add up to 5 fruits, so some possible values are 5, 10, 15, 20, 25, etc

    But we need a value between 8 and 16 oranges and bananas

    So we can choose 15 or 10

    Now let us choose 15 and solve

    Let the oranges be 3x

    Let the bananas be 2x

    Therefore,

    3x + 2x = 15

    5x = 15

    x = 3

    Thus oranges = 3x = 3 (3) = 9

    Bananas = 2x = 2 (3) = 6

    Thus the ratio for problem is:

    oranges : bananas = 9 : 6

    Similarly solve for 10

    3x + 2x = 10

    5x = 10

    x = 2

    Thus oranges = 3x = 3 (2) = 6

    Bananas = 2x = 2 (2) = 4

    Thus the ratio for problem is:

    oranges : bananas = 6 : 4
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