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13 December, 01:22

If a farmer sells 15 of his chickens, his stock of feed will last for 4 more days than planned, but if he buys 20 more chickens, he will run out of feed 3 days earlier than planned. If no chickens are sold or bought, the farmer will be exactly on schedule. How many chickens does the farmer have?

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  1. 13 December, 02:53
    0
    300 chickens

    Explanation:

    Let number of chickens = x

    Let number of scheduled days that the farmers stock will last = y

    Story 1

    Number of chicken=x-15

    Number of days = y+4

    (x-15) (y+4) = 0

    4x-15y-60=0

    Story 2

    Number of chickens = x+20

    Number of days = y-3

    (x+20) (y-3) = 0

    -3x+20y-60=0

    Form (1) and (2)

    4x-15=-3x+20

    7x=35y

    X=5y

    Sub x = 5y into (1)

    20y-15y-300=0

    5y=300=x
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