Question

If eggs are $\$2.00$ a dozen and cost $\$1.00$ per pound, how much does an egg weigh?
(a) $\dfrac{2}{9}$ pound
(b) $\dfrac{1}{12}$ pound
(c) $\dfrac{1}{6}$ pound
(d) None of these

Answer 1

Hint: To start with, we are to find the weight of a single egg given the conditions in the problem. We can start by checking how many eggs we get in the price of 1 dollar. Now, as it is also said that we can get 1 pound of eggs in 1 dollar, thus using this condition we can easily calculate the weight of a single egg.

Complete step by step solution:
According to the problem, we are given that the cost of a dozen eggs is 2 dollar.
We know that a dozen represents 12 units of an item or the quantity is 12. So, we have been given that 12 eggs cost 2 dollars.
And also, the cost of 1 pound of eggs is 1 dollar. We are to find the weight of a single egg.
We will make use of the unitary method to obtain the number of eggs we can buy for 1 dollar.
So, to start with, the price of 12 eggs is 2 dollar or for 2 dollars, we can get 12 eggs.
Then, at the price of 1 dollar, we can get $\dfrac{12}{2}$ = 6 eggs.
Again, it is also said that the cost of 1 pound of eggs is 1 dollar.
So, we can conclude that 6 eggs weigh 1 pound.
Thus, it can also be said that the weight of 1 egg is, $\dfrac{1}{6}$ pound

So, the correct answer is “Option c”.

Note: This problem is a usually easy problem where we can find the answer quite easily. But on the other hand, we have to be careful about all the silly mistakes. There are multiple units involved, the number of eggs, the price of eggs and the weight of eggs. So we have to be extremely careful which unit to compute first and how to proceed. We must also be aware of terms like couple, dozen, score, gross, etc