Farmer brown had ducks and cows. one day she noticed that the animals had a total of 1414 heads and feet. how many of the animals were ducks and how many were? cows

Ducks have 1 head, 2 feet.

Cows have 1 head, 4 feet.

That means there are 1414 animals in total.

Now let's make an equation.

1414 = 2x + 4x

1414 = total animals
2x = duck feet
4x = cow feet
2x and 4x = feet #

and let's solve that equation

1414 = 2x + 4x
1414 = 6x
  /6        /6
  235 = x
(apx.)

Ducks = 2x = 2(235) = 470
Cows = 4x = 4(235) = 940

940 + 470 = 1410.

Since there is a remainder of 4, it can be said that 1 animal with 4 legs will complete this (1414). However, it can also be said that 2 animals with 2 legs will complete this too. So.

Combination 1:
Cows = 941
Chickens = 470

Combination 2:
Cows = 940
Chickens = 472