
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
Two identical jars are filled with alcohol solutions, the ratio of the volume of alcohol to the volume of water being $p: 1$ in one jar and $q: 1$ in the other jar. Determine the ratio of the volume of alcohol to the volume of water in the mixture after the entire contents of the two jars are mixed together.

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