Question

Determine algebraically how many each type of chicken at Allysa purchased

Answer 1

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,

`A=12-D`

Substitute the above value in second equation.

`\begin{gathered} 3.75(12-D)+2.50D=35 \\ 45-3.75D+2.50D=35 \\ -1.25D=-10 \\ D=8 \end{gathered}`

The value of A is,

`\begin{gathered} A=12-8 \\ =4 \end{gathered}`

Thus, the numbers of American chickens are 4, and the numbers of Delawara chickens ae 8.