
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 a table tennis tournament, sixth graders and seventh graders participated, with the number of sixth graders being twice the number of seventh graders. The tournament was held in one round. The number of matches won by the seventh graders was $40\%$ greater than the number of matches won by the sixth graders. How many participants were there in the tournament?

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