
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 for a game night is $ \$30$ per adult and $ \$15$ per child. On a certain Friday, the total collected was $ \$2475$ from a mix of at least one adult and one child. Determine the ratio of adults to children that is closest to $1$ for that night.

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