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labwork [276]
2 years ago
10

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?
Mathematics
2 answers:
Gnoma [55]2 years ago
7 0
4 ducks (4 heads, 8 legs) and 2 sheep (2 heads, 8 legs). Altogether, 6 heads and 16 legs.
galina1969 [7]2 years ago
5 0

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.

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