Final answer:
The farmer collected 12 dozen eggs and sold 5/6 of them, leaving 1/6 which is 2 dozen eggs to give to friends and family.
Step-by-step explanation:
The student's question revolves around the concept of fractions and their application in dividing a set quantity. A farmer collected 12 dozen eggs from her chickens. When she sold 5/6 of these eggs at the farmers market, she was left with 1/6 to give away to friends and family. To calculate the exact amount she gave away, we first find the total number of eggs by multiplying 12 dozen by 12 (since a dozen is 12 items) to get 144 eggs. Next, we calculate 1/6 of 144 eggs to find out how many eggs were given to friends and family, which is 24 eggs or 2 dozen. Therefore, the correct answer is b) 2 dozen.