
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 are three types of goods: A, B, and C. If you purchase 3 units of A, 7 units of B, and 1 unit of C, the total cost is 3.15 yuan. If you purchase 4 units of A, 10 units of B, and 1 unit of C, the total cost is 4.20 yuan. Now, calculate the total cost of purchasing 1 unit each of A, B, and C.

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