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25 April, 22:44

How much does each fish weigh if all the fish total weigh 240. The 1 fish weighs twice as much as the 2 fish and the 3 fish weighs twice as much as the 1 fish. The weight of the last fish weighs 5 times as much as the 2 fish

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  1. 25 April, 22:46
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    S = 20

    F = 40

    T = 80

    L = 100

    Step-by-step explanation:

    Let 1st fish = F

    2nd fish = S

    3rd fish = T

    4th fish = last fish = L

    From the question,

    The 1st fish weighs twice as much as the 2nd fish. I. e

    F = 2S ... (1)

    and the 3rd fish weighs twice as much as the 1st fish. I. e

    T = 2F ... (2)

    But F = 2S from (1) substitute for F

    T = 2 (2S)

    T = 4S ... (3)

    The weight of the last fish weighs 5 times as much as the 2nd fish. I. e

    L = 5S ... (4)

    We have,

    1st + 2nd + 3rd + 4th = 240 I. e

    F + S + T + L = 240 ... (5)

    Substitute F, T and L into (5)

    2S + S + 4S + 5S = 240

    12S = 240

    S = 20

    From equation (1)

    F = 2S = 40

    From equation (3)

    T = 4S = 80

    From equation (4)

    L = 5S = 100
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