Maths

In a farm ,there are some goats and some chickens. Paul counted 45 heads while Julie counted 150 legs.How many goats and chicken are there?

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  1. g = goats

    c = chickenes

    The 45 heads mean :

    Number of goat heads plus the number of chicken heads = 45

    g + c = 45

    150 legs mean:

    4 g (number of goat legs) + 2 c (number of chicken legs) = 150

    4 g + 2 c = 150

    Now you must solve system of equations:

    g + c = 45

    4 g + 2 c = 150

    Try that.

    The solutions are:

    c = 15 , g = 30

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  2. X goats.
    4x Legs.
    ns.

    45-x Chickens.
    2(45-x) = 90 - 2x Legs.

    4x + (90-2x) = 150 Legs.
    X = 30 Goats.

    45-x = 45 - 30 = 15 Chickens.

    .

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