
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
Huanhuan, Lele, and Yangyang participated in the Hope Star finals, where 200 judges cast their votes, each voting for one contestant. If the ratio of votes Huanhuan received to votes Lele received is 3:2, and the ratio of votes Lele received to votes Yangyang received is 6:5, how many votes did Huanhuan, Lele, and Yangyang each receive?

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