Question

To be considered grade AA, an egg must weigh between 75 and 90 grams, including the shell. Shells of grade AA eggs weigh between 3 and 5 grams. What is the smallest possible mass, in grams, of a 12-egg omelet, assuming that only grade AA eggs are used, the shells are all discarded, and no mass is lost in the cooking process?

• A. 800
• B. 840
• C. 864
• D. 900
• E. 1,080

Hint:

When calculating the mass of an omelet, subtract the mass of the shell from the total weight of the egg.

Answer 1

The Correct Option is B

Step 1: Calculate the weight of an egg without the shell.
The weight of each egg is between 75 and 90 grams, including the shell. Since the shell weighs between 3 and 5 grams, the weight of the egg without the shell will be: \[ \text{Weight of egg without shell} = 75 - 5 = 70 \, \text{grams} \quad \text{(minimum weight without shell)}. \] Thus, the minimum weight of an egg without the shell is 70 grams.
Step 2: Calculate the total weight of the omelet.
For 12 eggs, the total weight without the shell is: \[ \text{Total weight of omelet} = 12 \times 70 = 840 \, \text{grams}. \] Thus, the smallest possible mass of the omelet is 840 grams.
Step 3: Conclusion.
The correct answer is (B) 840 grams.