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A plastic bucket containing 4/5 gallons of water is 3/4 full. How many gallons of water is in one fully filled bucket?

A. 1 1/15

B. 2 4/15

C. 9/15

D. 11/15

Answer Explanation:

Given:

  • A plastic bucket containing 4/5 gallons of water is 3/4 full.

To find:

  • How many gallons of water is in one fully filled bucket?

Let's use the proportion formula to solve this:

If 3/4 of the bucket is 4/5 gallons, then 1 full bucket (or 4/4 of the bucket) will contain how many gallons?

\(\frac{3}{4}\) of the bucket = \(\frac{4}{5}\) gallons ​ \(\frac{4}{3}\) of the bucket = \(\frac{5}{4}\) gallons  \(\frac{4}{4}\) of the bucket=\(?\) gallons

\(\frac{4}{4}\)​ of the bucket = x gallons

Cross multiplying: x =  \(\frac{4}{4}*\frac{4}{5}\ *\ \frac{4}{3}x = \frac{4}{5}*\frac{4}{3} = x\) 

\(x\ =\ \frac{16}{15}\)

Thus, a fully filled bucket contains \(\frac{16}{15}\ =\ 1\frac{1}{15}\)​ gallons of water. Therefore, the correct choice is:

Choice A: 1 1/15

Therefore, the Correct Answer is A.

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