a farmhouse shelters 11 animals.some are goats and some are ducks.altogether there are 34 legs. How many of each animals are here

Question

a farmhouse shelters 11 animals.some are goats and some are ducks.altogether there are 34 legs. How many of each animals are here

Answer 1

We are given that there are 11 animals with a total of 34 legs.

 

Let G = number of Goats, and D = number of Ducks

 

then G + D = 11; solving for G, we get G = 11 - D

 

then, 4G + 2D = 34

 

substituting the value for G, we get 4(11 - D) + 2D = 34

 

expanding, we get 44 - 4D + 2D = 34

 

solving, we get D = 5. Therefore, G = 6

 

Proof: (5 x 2) + (6 x 4) = 34