
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 April 23rd, which is "World Book Day", a certain middle school plans to purchase several books of type $A$ and type $B$ from a bookstore for the parent-child reading activity "Bookish Family, Reading Together". The unit price of type $A$ books is $5$ yuan more than the unit price of type $B$ books. The number of type $A$ books that can be purchased with $1000$ yuan is the same as the number of type $B$ books that can be purchased with $750$ yuan. Find the unit prices of type $A$ and type $B$ books.

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