A farm raises cows and chickens. The farmer has a total of 46 animals. One day he counts the legs of all his animals and realizes he has a t

Question

A farm raises cows and chickens. The farmer has a total of 46 animals. One day he counts the legs of all his animals and realizes he has a total of 156 legs. How many chickens does the farmer have?

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Eirian 4 years 2021-08-23T23:46:43+00:00 1 Answers 105 views 0

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  1. kimcuc
    0
    2021-08-23T23:47:54+00:00
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    Answer:

    32 chickens

    Step-by-step explanation:

    Let

    The number of cows = x

    The number of chickens = y

    A farm raises cows and chickens. The farmer has a total of 46 animals.

    x + y= 46….. Equation 1

    x = 46 – y

    Number of legs of chickens = 2

    Number of legs of cows = 4

    One day he counts the legs of all his animals and realizes he has a total of 156 legs.

    Hence:

    2x + 4y = 156…. Equation 2

    We substitute 46 – y for x in Equation 2

    2(46 – y) + 4y = 156

    92 – 2y + 4y = 156

    – 2y + 4y = 156 – 92

    2y = 64

    y = 64/2

    y = 32

    Solving for x

    x = 46 – y

    x = 46 – 32

    x = 14

    The number of cows = x = 14 cows

    The number of chickens = y = 32 chickens

    Therefore, the number of chickens that the farmer has is 32 chickens

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