
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 standard weight of a batch of fruits is 30 kilograms. Exceeding the standard weight is recorded as positive, while falling below the standard weight is recorded as negative. The records are as follows: +9, -10, -5, +6, -7, -6, +7, +10.  
$(1)$ How many kilograms are there in total for this batch of fruits?  
$(2)$ On the first day, half of the batch of fruits was sold at a price of 10 yuan per kilogram. On the second day, in order to attract customers, the price of the fruits sold on the first day was discounted by 10%, and the remaining fruits were sold. Calculate how much money was earned from selling this batch of fruits in total.

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