
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
On the eve of the Dragon Boat Festival, a supermarket purchased the first batch of vacuum-packed zongzi for $3000 based on market research. After they were put on the market, they were quickly sold out. Then, the supermarket purchased a second batch of the same type of vacuum-packed zongzi for $7500. It is known that the number of bags of zongzi purchased in the second batch is three times the number of bags purchased in the first batch, and the cost per bag of the second batch is $4 less than the cost per bag of the first batch. Find the cost per bag of the zongzi in the first batch.

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