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ANSWER
[tex]\text{ \$22.50}[/tex]EXPLANATION
It has been determined that there are 4 Americana chickens and 8 Delaware chickens.
Each Americana chicken lays 2 eggs per day.
Each Delaware chicken lays 1 egg per day.
First, let us find the number of eggs after one week.
To do this, multiply the number of eggs the chickens lay per day by the number of days in a week i.e. 7:
[tex]\begin{gathered} AC=2\cdot7\cdot4=14\text{ eggs} \\ DC=1\cdot7=7\text{ eggs} \end{gathered}[/tex]There are 4 Americana chickens and 8 Delaware chickens, so, the total number of eggs becomes:
[tex]\begin{gathered} \text{Total}=(14\cdot4)+(7\cdot8)=56+56 \\ \text{Total}=112\text{ eggs} \end{gathered}[/tex]Now, find the number of full dozens in 112 eggs by dividing by 12:
[tex]\begin{gathered} Dozens=\frac{112}{12} \\ \text{Dozens}=9\frac{1}{3} \end{gathered}[/tex]In other words, there are only 9 full dozens after 1 week.
Allysa only sells eggs by a full dozen for $2.50. This means that after one week, the amount of money she expects to take in is:
[tex]\begin{gathered} 9\cdot2.50 \\ \text{ \$22.50} \end{gathered}[/tex]