
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 chess tournament, students from the 9th and 10th grades participated. Each participant played with every other participant once. There were ten times more 10th graders than 9th graders, and together they scored 4.5 times more points than all the 9th graders. How many 9th grade students participated in the tournament and how many points did they score?

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