Given data:
The expression for the total chicken is A+D=12.
The expression for the total cost is 3.75A+2.50D=35.
The firrst equation can be written as,
[tex]A=12-D[/tex]
Substitute the above value in second equation.
[tex]\begin{gathered} 3.75(12-D)+2.50D=35 \\ 45-3.75D+2.50D=35 \\ -1.25D=-10 \\ D=8 \end{gathered}[/tex]
The value of A is,
[tex]\begin{gathered} A=12-8 \\ =4 \end{gathered}[/tex]
Thus, the numbers of American chickens are 4, and the numbers of Delawara chickens ae 8.
