
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
For three types of goods, A, B, and C, if 3 units of A, 7 units of B, and 1 unit of C are purchased, the total cost is 325 yuan. If 4 units of A, 10 units of B, and 1 unit of C are purchased, the total cost is 410 yuan. How much does it cost to purchase 1 unit of each A, B, and C?

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