
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
Given that adult tickets on a holiday cost 10% more than the regular price and child tickets cost half the regular adult price, and 4 adult tickets and 3 child tickets on a holiday cost $28.80, determine the cost of 6 adult tickets and 5 child tickets on the holiday.

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