a farmhouse shelters 11 animals. Some are sheep and some are ducks. Altogether there are 36 legs. How many of each animal are there?

Question

that’s it

Answer 1

We are given that there are 11 animals with a total of 36 legs based on the problem.

 

S = number of Goats

D = number of Ducks

 

Therefore, S + D = 11

Next we will set up an equation that solves for solving for S, we get S = 11 - D

We will also set up the equation 4S + 2D = 36

 

substituting the value for S, we get 4(11 - D) + 2D = 36

 

expanding, we get 44 - 4D + 2D = 36 which then turns into 44 - 2D = 36

 

solving for this we get we get D = 4. Therefore, S = 7

 

Proof: (4 x 2) + (7 x 4) = 36

Therefore, there are 4 ducks and 7 sheep.

Answer 2

d represents the number of ducks

11 - d represents the number of sheep

2d + 4(d - 11) = 36

Can you solve for d and answer?