Eleanor and her little sister Joanna are responsible for two chores on their family’s farm: gathering eggs and collecting milk. Eleanor can gather 9 dozen eggs or collect 3 gallons of milk per week. Joanna can gather 2 dozen eggs or collect 2 gallons of milk per week.
a. The family wants 2 gallons of milk per week and as many eggs as the sisters can gather. Currently, Eleanor and Joanna collect one gallon of milk each and as many eggs as they can. How many dozens of eggs does the family have per week?
b. If the sisters specialized, which sister should gather the milk?
c. If the sisters specialized, how many dozens of eggs would the family have per week?