Let the number of goats be 'x'. Therefore, the number of chicken will be 50-x Total number of legs the goats will have= 4x (goats have 4 legs) Total number of legs chickens will have= 2(50-x) (chickens have two legs). 4x + 2(50-x)=140 4x+100-2x=140 2x+100=140 2x=40 x=20. There are 20 goats and 30 chickens.