Question

The number of ducks and pigs in the field is 43. The total of legs among them is 118. Assuming each duck has exactly two legs and each pig has exactly four leg, determine how many pigs and how many ducks are in the field

Answer 1

16 pigs and 27 ducks

Explanation:

Let the number of pig be x

And let the number of ducks be y

X+y = 43.... equation 1

each duck has exactly two legs and each pig has exactly four leg.

Total leg is 118

4x + 2y = 118 ..... equation 2

X+y = 43

4x + 2y = 118

4(X+y = 43)

4x +4y = 172

4x + 2y = 118 - 4x +4y = 172

-2y = -54

Y = 27

If y = 27

X+y = 43

X = 43-27

X= 16