A farmer has pigs and chickens. She counted 140 eyes and 200 legs. How many pigs and how many chickens were there?

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Answer 1 · 2016-09-30T14:42:46

$"The farmer has "30" pigs and "40" chickens."$

Suppose that there are $p$ pigs and $c$ chickens.

Pigs and chickens have $2$ eyes, so, total no. of eyes is $2p+2c.$

The farmer counted $140" eyes, so, "2p+2c=140.............(1)$

Coming to the count of legs, we have, $4p+2c=200..........(2)$

$(2)-(1) rArr 2p=60 rArr p=30.$

Then, by $(1), 60+2c=140 rArr 2c=80 rArr c=40.$

$"Thus, the farmer has "30" pigs and "40" chickens."$