
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
Orvin went to the store with just enough money to buy 30 balloons where each balloon cost $1. However, the store had a two-tier discount on balloons: for every set of two balloons bought at regular price, the third balloon in the set is for half price. Calculate the number of balloons that Orvin can now buy with the same budget.

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