
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
William has two tubs in his garden. The first tub was $\frac{3}{4}$ full of water while the second tub was empty. He transferred all the water from the first tub into the second tub, at which point, the second tub was $\frac{2}{3}$ full. What is the ratio of the volume of the first tub to the volume of the second tub?
A) $\frac{7}{9}$
B) $\frac{8}{9}$
C) $\frac{9}{8}$
D) $\frac{2}{3}$

Present the answer in LaTex format: \boxed{Your answer}
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