
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
At what price should a mixture of two types of candies be sold if the price of the first type is 10 rubles per kilogram, the second is 15 rubles per kilogram, and the weight of the candies of the first type is three times more than that of the second type?

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