
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
The admission fee at a museum is $ \$30$ per adult and $ \$15$ per child. Last Friday, the museum collected a total of $ \$2700$ in admission fees, with the restriction that there were at least two adults and at least two children. Find the ratio of adults to children that is closest to $2$.

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