41.6k views
18 votes
A farmhouse shelters 14 animals. Some are

pigs, and some are chickens. Altogether there
are 44 legs between the animals. Let p
represent the number of pigs and c represent
the number of chickens.

1 Answer

11 votes

9514 1404 393

Answer:

  • 8 pigs
  • 6 chickens

Explanation:

Maybe you want to know the number of each kind of animal.

__

We can write two equations in the two unknowns.

p + c = 14 . . . . . . number of animals

4p +2c = 44 . . . number of legs

Dividing the second equation by 2, it becomes ...

2p +c = 22

Then subtracting the first equation gives ...

(2p +c) -(p +c) = (22) -(14)

p = 8

8 +c = 14

c = 6

The farmhouse shelters 8 pigs and 6 chickens.

User MikeGA
by
5.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.