
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
Container A and container B both contain alcohol, with A containing $v_1$ kilograms and B containing $v_2$ kilograms. The ratio of pure alcohol to water (by weight) in A is $m_1:n_1$, and in B, it is $m_2:n_2$. What is the ratio of pure alcohol to water in the mixture obtained by combining the two?

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