Question

A farmer has some hens and some goats. if the total number animal head is 80 and total number of animal feet is 200. what is the total number of goats

Answer 1

hen has 2 legs and goat has 4,let no. of hens be x and goats be y
so x+y=80
and 2x+4y=200
solve both x=60 y=20

Answer 2

Answer:

20

Step-by-step explanation:

Let x  be the number of hens

Let y be the number of goats

The total number animal head is 80

So, $x+y=80$  ---A

No. of legs of 1 hen = 2

No. of legs of x hens = 2x

No. of legs of 1 goats = 4

No. of legs of y hens =4y

Since we are given that total number of animal feet is 200.

So,  $2x+4y=200$ ----B

Solving A and B

Substitute the value of x from A in B

$2(80-y)+4y=200$

$160-2y+4y=200$

$160+2y=200$

$2y=200-160$

$2y=40$

$y=20$

Substitute the value of y in A to get value of x

$x+20=80$

$x=60$

So, Number of Goats = 20

Number of hens = 60

Hence the total number of goats is 20 .