Question

a farmer has 80 animals some of them are goats and some are chickens. the total number of legs are 200 find the total number of chickens

Answer 1

HEY MATE!

HERE IS YOUR ANSWER

STEP BY STEP EXPLANATION:

We know that goat has 4 legs and chockens have 2 legs.

According to the question

legs of goat + legs of chicken =200

and number of goat+number of chicken =80

Let the number of goats be x then number of chickens be 80-x

now, number of legs of goat=4x

number of legs of chicken =2(80-x)

Hence , 4x+2(80-x)=200
4x+160-2x=200
2x=200-160
2x=40
x=40/2
x=20=number of goats

80-x=80-20=60=number of chickens


Thus , the number of chickens are 60.

HOPE IT HELPED YOU ^_^

Answer 2

let X be number of goats
let y be number of chicken
therefore according to the given info
X+y=80. as there are 80 animals in total
goat has 4 legs and chicken has 2 legs therefore
4x+2y =200. as total number of legs are 200

let 4x+2y=200 be eqn 2

therefore let X+y=80 be eqn 1
by multiplying eqn 1 by -2
we get -2x-2y=-160
let this be eqn 3
by adding eqn 2 and 3
we get 2x=40
X= number of goats =20
and y= number of chicken = 60 (80-20)