A bucket containing 2 4/5 gallons of water is 1/3 full. How many gallons of water are in one fully filled bucket?
A fully filled bucket contains 6 4/5 gallons of water.
Given that 2 4/5 gallons of water fills only a third of the bucket, we can multiply this volume by three to find the total capacity. This calculation (3*2 4/5) yields the full bucket volume of 6 4/5 gallons of water.
This choice is incorrect because it is significantly smaller than the given volume of 2 4/5 gallons, which only fills a third of the bucket. Therefore, the total capacity of the bucket cannot be less than 2 4/5 gallons.
While this choice is larger than the given volume of 2 4/5 gallons, it is still smaller than the correct volume. If 2 4/5 gallons fills a third of the bucket, then the total capacity must be three times this amount, or 6 4/5 gallons, not 8 2/5 gallons.
This is the correct answer. If 2 4/5 gallons fills a third of the bucket, then the total capacity must be three times this amount, which is 6 4/5 gallons.
This choice is incorrect because it is less than the given volume of 2 4/5 gallons, which only fills a third of the bucket. Therefore, the total capacity of the bucket cannot be less than 2 4/5 gallons.
The question provides that 2 4/5 gallons of water fills a third of a bucket. To find the total capacity of the bucket, we multiply this volume by three. The other options—14/15, 8 2/5, and 2 7/15 gallons—are all incorrect because they do not yield the correct volume when the given volume of 2 4/5 gallons is multiplied by three. Therefore, the correct answer is 6 4/5 gallons.
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