
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
Given that Container A is initially $\frac{3}{4}$ full of juice and container B is initially $\frac{1}{4}$ full of water, and when the juice is poured from Container A into Container B, the mixture fills container B to $\frac{7}{8}$ of its full capacity, calculate the ratio of the volume of container A to the volume of container B.

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