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

Question

4392 views around the world

You can reuse this answer
Creative Commons License

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."#