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."#