Answer:
There are 8 Cattles
Step-by-step explanation:
Let us represent the Ducks by "d"
Let us represent the Cows by "c"
The total number of ducks and cows is 14:
d + c = 14(equation i)
The total number of their feets(Ducks has 2 feets and Cows has 4 feets is 44) :
2d + 4c = 44(equation ii)
d + c = 14(equation i)
2d + 4c = 44(equation ii)
multiply equation i by (-4)
-4d - 4c = -56 (equation iii)
add equation iii and equation ii
-4d - 4c = -56
+
2d + 4c = 44
-2d = -12
d = -12 ÷ -2 = 6
There are 6 ducks
Therefore substitute d = 6 into equation i
6 + c = 14
c = 14 - 6
c = 8
Therefore there are 8 Cattles