Ben Has Only Ducks And Cows. He Knows He Has 22 Animals In All. He Knows The Total Amount Of Legs Are 56. How Many Of Each Animal Does He Have?

The problem can be solved in the following way:
 
Say, the number of cows Ben have is x and the number of ducks Ben have is y
 
Therefore, total number of cows and ducks is x+y=22 ------ (I)
 
If one cow has 4 legs, then x cows will have 4x legs
Also, if one duck has 2 legs, then y ducks will have 2y legs
 
Therefore, total number of legs is 4x+2y=56 ------(ii)
 
Equations (I) and (ii) will be solved now
From (I), x=22-y
 
Putting the value of x from (I) in (ii),
4(22-y)+2y=56
88-4y+2y=56
-2y=-32
y=16
 
Putting the value of y in equation (I)
x=22-16
x=6
 
Therefore, the number of cows is 6 and the number of ducks is 16

16 ducks
6 cows

Draw 22 animals that are all ducks (2 legs). The animals can just be circles with two lines coming out as legs. You will have 44 legs. Then begin creating cows out of ducks one at a time until you get to the correct number of cows (should be 6 cows and 16 ducks). This is an exercise in problem solving and when math teachers give it out they mean for you to try new things (like draw a picture)