
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
A certain supermarket is preparing to purchase and sell mooncakes of two brands, $A$ and $B$, before the Mid-Autumn Festival. It is known that the quantity of brand $A$ mooncakes that can be purchased with $6000$ yuan is $80$ bags more than the quantity of brand $B$ mooncakes that can be purchased with $4800$ yuan. Additionally, the price of each bag of brand $B$ mooncakes is $1.2$ times the price of each bag of brand $A$ mooncakes. Find the price of each bag of brand $A$ mooncakes.

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