We can create two equations: x represents polar bears and y represents penguins. x + y = 47 to represent the heads 4x + 2y = 116 to represent the feet.
Simplify the feet equation by dividing by 2: 2x + y = 58
Now we can subtract the two equations: x + y = 47 -(2x+y=58) And we get -x = -11 x = 11, so there are 11 polar bears. Now plug this value into the first equation: (11) + y = 47 y = 36, so there are 36 penguins.
