If a bucket containing 2 4/5 gallons of water is 1/3 full, how many gallons of water are in one fully filled bucket?

Rationale

The capacity of one fully filled bucket is 8 2/5 gallons.

To solve this problem, the volume of water in the bucket when it is 1/3 full is given as 2 4/5 gallons, so we can multiply this by 3 to find the total volume when the bucket is fully filled. The result is 8 2/5 gallons.

A (6 4/5) YOUR ANSWER

This choice is incorrect because it seems to be obtained by doubling the given quantity (2 4/5) instead of tripling it, which is what's required since the bucket is 1/3 full.

B (14/15) YOUR ANSWER

This choice is incorrect because it is significantly less than the given volume when the bucket is 1/3 full (2 4/5 gallons). If the full capacity of the bucket were indeed 14/15 gallons, then 1/3 of it would be less than 14/15 gallons, which contradicts the information provided in the question.

C (2 7/15) YOUR ANSWER

This choice seems to be a simple addition of 1/3 (the proportion of the bucket filled) to the given volume (2 4/5 gallons) which is not the correct method to solve the problem.

D (8 2/5) CORRECT

This is the correct answer as it is obtained by tripling the volume of water when the bucket is 1/3 full (2 4/5 gallons), according to the ratio provided in the question.

Conclusion

In this problem, the volume of water when the bucket is 1/3 full (2 4/5 gallons) is given. To find the full capacity of the bucket, we need to multiply this volume by 3, which gives us the correct answer of 8 2/5 gallons. The other options are based on incorrect calculations and do not align with the information provided in the question.

If a bucket containing 2 4/5 gallons of water is 1/3 full, how many gallons of water are in one fully filled bucket?

The capacity of one fully filled bucket is 8 2/5 gallons.

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