
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
A merchant accidentally mixed first-grade candies (priced at 3 rubles per pound) with second-grade candies (priced at 2 rubles per pound). At what price should this mixture be sold to yield the same total amount, given that the initial total cost of all first-grade candies was equal to the total cost of all second-grade candies?

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