Question

Mrs jones has ducks and sheep on her farm. The animals have a total of 6 heads and 16 legs. How many ducks does mrs jones have? How many sheep does mrs jones have?

Answer 1

4 ducks (4 heads, 8 legs) and 2 sheep (2 heads, 8 legs). Altogether, 6 heads and 16 legs.

Answer 2

Answer: There are 4 ducks and 2 sheep.

Step-by-step explanation:

Let x be the number of ducks and y be the number of sheep.

We know that each duck has 2 legs and each sheep has 4 legs.

Now, According to the given information , we have

$x+y=6------------(1)\\\\2x+4y=16--------(2)$

Multiply 2 on both sides of equation (1), we get

$2x+2y=12----------(3)$

Eliminate equation (3)  from (2), we get

$2y=4\\\\\Rightarrrow\ y=2$

Substitute y=2 in (1), we get

$x+2=6\\\\\Rightarrow\ x=6-2=4$

Hence, there are 4 ducks and 2 sheep.