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25 January, 08:21

Mark gave 21 tadpoles to his 3 friends. Mark gave twice as many tadpoles to David as he did Chris. George received twice as many tadpoles as David. How many tadpoles did each friend receive?

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  1. 25 January, 09:48
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    Number of tadpoles Chris has = 3

    Number of tadpoles David has = 6

    Number of tadpoles George has = 12

    Step-by-step explanation:

    Given: Total number of tadpoles divided among 3 friends = 21

    Number of tadpoles Mark gave to Chris = A

    Number of tadpoles Mark gave to David = B = 2A

    Number of tadpoles Mark gave to George = C = 2B = 2 (2A) = 4A

    ∴ Total number of tadpoles = A + B + C

    ⇒ 21 = A + 2A + 4A

    ⇒ 21 = 7A

    ⇒ A = 21 : 7 = 3

    ∴ Number of tadpoles Chris has = A = 3

    Number of tadpoles David has = B = 2A = 2 (3) = 6

    Number of tadpoles George has = C = 2B = 2 (2A) = 4A = 4 (3) = 12
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