
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 owner of a fruit store purchased a batch of fruits for $600$ yuan, which sold out quickly. The owner then purchased a second batch of fruits for $1250$ yuan. The number of items purchased in the second batch was twice the number purchased in the first batch, but the cost per item in the second batch was $5$ yuan more than in the first batch. What was the cost per item in the first batch of fruits?

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