
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
In the spring festival of 2023, the science fiction movie "The Wandering Earth 2" was released, which sparked people's enthusiasm for reading science fiction books. A school library purchased two types of science fiction books, A and B. It is known that the cost price of each book in type A is $15 more than the cost price of each book in type B. The quantity of type A books purchased for $675 is the same as the quantity of type B books purchased for $450. Find the cost price per book for type A and type B.

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