
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 food company decided to send a batch of Sichuan peppercorns to be sold in other places. There are two types of trucks, A and B. It is known that type A trucks can carry 20 more boxes of Sichuan peppercorns per truck than type B trucks. Also, the number of trucks needed to transport 1000 boxes of Sichuan peppercorns using type A trucks is the same as the number of trucks needed to transport 800 boxes of Sichuan peppercorns using type B trucks.  
$(1)$ Find out how many boxes of Sichuan peppercorns each truck of type A and type B can carry.  
$(2)$ If there are 1625 boxes of Sichuan peppercorns to be transported using a total of 18 trucks of type A and type B, where each truck of type A is fully loaded and the last truck of type B only carries 65 boxes while the rest are fully loaded, find out how many trucks of type A and type B are needed.

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