Question

There are 23 pigs and chickens. The pigs and chickens together have 84 legs. How many of each kind of animal are there?

Answer 1

Step-by-step explanation:

23pigs 23chickens

pigs have 4legs

chickens have 2legs

i.e23×4=86 legs

i.e23×2=46 legs

86+46=132

Answer 2

Answer:

19 pigs and 4 chickens.

Step-by-step explanation:

Let the number of pigs = x

and number of chickens = y.

Since there are 23 pigs and chickens. Hence, we have

x + y = 23

Solving this equation for x

x = 23 - y...(i)

Now, chicken has 2 legs and pig has 4 legs. And it has been given that there are 84 legs.

Thus, we have the below equation

4x + 2y = 84

Substituting the value of x from (i)

4(23-y) + 2y = 84

92-4y+2y=84

-2y = 84 -92

- 2y = -8

y = 4

From equation (i)

x = 23 - 4

x = 19

Therefore, there are 19 pigs and 4 chickens.