Questions: A bucket containing 24 / 8 gallons of water is 1 / 3 full. How many gallons of water is in one fully filled bucket?

Transcript text: A bucket containing $24 / 8$ gallons of water is $1 / 3$ full. How many gallons of water is in one fully filled bucket? $2 \pi / 3$ $6^{2 / 5}$ $1+4 / 15$ $8^{2 / 5}$

Solution

Solution Steps

Step 1: Determine the Current Amount of Water in the Bucket

The problem states that a bucket containing $\frac{24}{8}$ gallons of water is $\frac{1}{3}$ full. First, calculate the current amount of water in the bucket:

\[ \frac{24}{8} = 3 \text{ gallons} \]

Step 2: Calculate the Full Capacity of the Bucket

Since the bucket is $\frac{1}{3}$ full with 3 gallons, we can find the full capacity of the bucket by dividing the current amount by the fraction that represents how full the bucket is:

\[ \text{Full capacity} = \frac{3}{\frac{1}{3}} = 3 \times 3 = 9 \text{ gallons} \]