
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
Given the cost of buying 2 pieces of type A, 1 piece of type B, and 3 pieces of type C is $24$ yuan, and the cost of buying 3 pieces of type A, 4 pieces of type B, and 2 pieces of type C is $36$ yuan, find the total cost of buying 1 piece of type A, 1 piece of type B, and 1 piece of type C.

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