
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 evening of February 6, 2022, the Chinese women's football team won the championship by reversing the score to 3:2 in the Asian Cup final! A wave of enthusiasm for learning from the spirit of women's football has swept across the country. A certain school is preparing to purchase a batch of soccer balls. They first purchased several $A$ type soccer balls for $7500$ yuan, and then purchased $B$ type soccer balls for $4800$ yuan. The quantity purchased in the second purchase was $30$ more than the first purchase. It is known that the unit price of $A$ type soccer balls is $2.5$ times the unit price of $B$ type soccer balls. Find the unit price of $B$ type soccer balls.

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