
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
Xiamen Educational Apparel Factory plans to produce a batch of student uniforms of a certain model. It is known that 3 meters of fabric can make 2 jackets or 3 pairs of trousers, and one jacket and one pair of trousers make a set. If planning to use 600 meters of this fabric for production, how much fabric should be used for jackets and trousers respectively to exactly match the sets? How many sets can be produced in total?

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