
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
Given that $\frac{1}{3}$ of the juniors and $\frac{2}{3}$ of the seniors participated in a science quiz, if the number of junior and senior participants was equal, determine the ratio of the number of juniors to the number of seniors in the school.

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