
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
We have three types of alloys - gold, silver, and copper - where the ratio of these metals is $1:3:5$, $3:5:1$, and $5:1:3$. Create a mixture of these alloys that weighs $351 \mathrm{~g}$, where the ratio of gold, silver, and copper is $7:9:11$.

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