Question

There is an animal farm where chickens and cows live. All together, there are 46 heads and 134 legs. How many chickens and cows are there on the farm?

Answer 1

Let

x ----> number of chickens

y ----> number of cows

Remember that

chicken has two legs and one head

cow has four legs and one head

so

x+y=46 ------> x=46-y -----> equation 1

2x+4y=134 -----> equation 2

solve the system

substitute equation 1 in equation 2

2(46-y)+4y=134

solve for y

92-2y+4y=134

2y=134-92

2y=42

y=21

Find out the value of x

x=46-y

x=46-21=25

therefore

25 chickens and 21 cows