
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
There were 150 participants on a trip. The total cost of 1530 Forints was contributed by men, women, and children, with each contributing 17, 14, and 9 Forints, respectively. The number of children did not reach 120. How many men, women, and children participated in the trip?

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