
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
Teacher Wang conducted a stratified sampling of a $10$-person sample to understand the weekly snack expenditure of students in the class. The statistical results are as follows:

|         | Number | Average Expenditure (yuan) | Variance |
|---------|--------|----------------------------|----------|
| Boys    | $6$    | $35$                       | $6$      |
| Girls   | $4$    | $40$                       | $4$      |

The total variance of snack expenditure per week for the students in the class is ______.

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