Question 17

One fully filled bucket contains 8 2/5 gallons of water.

If a bucket containing 2 4/5 gallons of water is 1/3 full, then the total capacity of the bucket can be calculated by multiplying that amount by 3, resulting in 8 2/5 gallons.

A) 6 4/5

This option is incorrect as it represents a smaller total capacity than the actual amount calculated. If the bucket were 6 4/5 gallons, then 1/3 of that would only yield 2 1/4 gallons, which does not match the given 2 4/5 gallons.

B) 14/15

This option is also incorrect. 14/15 gallons represents a very small total capacity, and when multiplied by 3, it would result in a total of only 14/5 gallons, which is significantly less than the 2 4/5 gallons stated in the question.

C) 2 7/15

This choice is incorrect as well. If the total capacity were 2 7/15 gallons, then 1/3 of that would yield only 2 7/45 gallons, which is much lower than the 2 4/5 gallons indicated in the question.

D) 8 2/5

This option is correct. By multiplying 2 4/5 gallons by 3, we find that the full capacity of the bucket is indeed 8 2/5 gallons, confirming that this is the accurate total.

Conclusion

The correct answer is definitively 8 2/5 gallons, as it directly results from the calculation based on the provided amount of water in the 1/3 full bucket. All other options do not meet the criteria established by the question, as they either miscalculate the total capacity or provide quantities that are inconsistent with the given data.