Final answer:
The container is 1/6 full with 2/3 pound of coffee, and to find the total weight when filled, we divide 2/3 by 1/6 and get 4 pounds, which is not one of the provided options.
Step-by-step explanation:
The question describes a situation where the container is partially filled with coffee and asks to determine the total weight (when full) based on the given fraction that is currently filled. According to the problem, the container is 1/6 full, and it currently holds 2/3 of a pound of coffee. To find the total weight of the coffee that the container can hold when filled to capacity, we should divide the weight of the coffee by the fraction that the container is full. Therefore, we do the following calculation:
- Divide the weight of the coffee (2/3 pound) by the fraction of how much the container is full (1/6).
To perform this division, we invert the divisor and multiply:
- (2/3) ÷ (1/6) = (2/3) × (6/1) = 12/3
- The result simplifies to 4 pounds.
Therefore, the total weight of the coffee that the container can hold is 4 pounds, so none of the options provided (a, b, c, d) are correct. It seems there might be a mistake in the question or the answer choices.