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31 January, 19:22

Four friends have different numbers of cows on their farms. Jorge has 3 times as many cows as Carla. Marcus has half as many cows as Jorge. Dominique has 2 less than 4 times as many cows as Carla. How many cows do they each have if they have a total of 169 cows?

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  1. 31 January, 19:42
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    Let us say:

    x = Jorge

    y = Carla

    z = Marcus

    a = Dominique

    We are given that:

    x = 3y - - > 1

    z = 0.5x - - > 2

    a = 4y - 2 - - > 3

    x + y + z + a = 169 - - > 4

    Substituting 1 to 2:

    z = 0.5 (3y) = 1.5y - - > 5

    Substituting 1, 3 and 5 to 4:

    3y + y + 4y - 2 + 1.5y = 169

    9.5y = 171

    y = 18

    Hence,

    x = 3y = 3*18 = 54

    z = 0.5x = 0.5 (54) = 27

    a = 4y - 2 = 4 (18) - 2 = 70

    y = 18
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