
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 items, A, B, and C. If buying 3 of A, 5 of B, and 1 of C costs 32 yuan; and buying 4 of A, 7 of B, and 1 of C costs 40 yuan, then how much does it cost to buy 1 of each item?

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