Answer:
The answer to a) is 13 dozens; answer to b) is 11 dozens, and answer to c) is 15 dozens
Explanation:
Let eggs be x and Milk be y
Eleanor =15x or 5y
Sister =2x or 2y
Eleanor 15x=5y; i.e. y=3x
Sister 2x=2y; i.e. x=y
a) Each collected 1 gallon of milk
Meaning Eleanor had 4 more gallons to collect and each gallon is equivalent to 3 dozens
So she gathered 4*3=12 dozens of eggs
The sister gathered 1 dozen of eggs
Totals =12+1=13 dozens.
b) If they specialize:
Eleanor to collect milk 2 gallons
Time to collect the remaining 3 gallons be spend for eggs i.e. 3*3 = 9 dozens
Sister spend time in collecting eggs i.e. 2 dozens
Total =2+9=11dozens
c) If the sister specializes in collecting milk
She will collect milk only while Eleanor will gather eggs alone i.e. 15 dozens
Hence, Eleanor should specialize in eggs.
The family will have 15 dozens at the end of the week.