
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
The factory produces three different models of products: $A$, $B$, and $C$, and the ratio of the quantity of these products is $2:3:5$. If a sample of size $n$ is taken from the factory's production of $A$, $B$, and $C$ using stratified sampling, and the sample contains $10$ items of product $A$, calculate the value of $n$.

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