Answer:
Pigs = 17
Ducks = 6
Step-by-step explanation:
Let there be x pigs and y ducks in the field.
[tex]\implies x + y =23[/tex]
[tex]\implies y =23-x.....(1)[/tex]
Since, there are 80 legs in all.
Each pig has 4 legs and each duck has 2 legs. So, x pigs will have 4x legs and y ducks will have 2y legs.
Total legs = 4x + 2y
Total legs = 80 (Given)
[tex]\implies 4x + 2y =80....(2)[/tex]
From equations (1) & (2), we find:
[tex]\implies 4x + 2(23-x) =80[/tex]
[tex]\implies 4x + 46-2x =80[/tex]
[tex]\implies 2x =80-46[/tex]
[tex]\implies 2x =34[/tex]
[tex]\implies x =\frac{34}{2}[/tex]
[tex]\implies x =17[/tex]
[tex]\implies y =23-17[/tex]
[tex]\implies y =6[/tex]
