
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
There were two alloys of copper with different percentages of copper content in each. The percentage of copper in the first alloy was 40 percent less than the percentage of copper in the second alloy. Then, these two alloys were melted together, resulting in a mixture containing 36% copper. Determine the percentage of copper in each alloy, given that the first alloy contained 6 kg of copper and the second alloy contained 12 kg of copper.

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