
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 entry fee for a concert is \$30 per adult and \$15 per child. On a particular day, the concert collected \$2250 in entry fees, with at least one adult and one child attending. Determine the ratio of adults to children on that day, such that the ratio is closest to 1.

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