Let number of ducks is:
[tex]x[/tex]Number of pigs is:
[tex]y[/tex]Total number in field is 38
that mean:
[tex]\begin{gathered} x+y=38 \\ x=38-y \end{gathered}[/tex]Total legs is 94
Duck legs is:
[tex]2x[/tex]Pigs legs is:
[tex]4y[/tex]when total leg is 94 that mean:
[tex]\begin{gathered} 2x+4y=94 \\ 2(x+2y)=94 \\ x+2y=47 \end{gathered}[/tex]put the vaue of x:
[tex]\begin{gathered} x+2y=47 \\ 38-y+2y=47 \\ y=47-38 \\ y=9 \end{gathered}[/tex]so there is 9 pigs and ducks is:
[tex]\begin{gathered} x=38-y \\ x=38-9 \\ x=29 \end{gathered}[/tex]The ducks is 29.
