
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
A hotelier wanted to equip the dining room with new chairs. In the catalog, he chose a type of chair. When placing the order, he learned from the manufacturer that as part of a discount event, every fourth chair is offered at half price and that, therefore, he could save the equivalent cost of seven and a half chairs from the original plan. The hotelier calculated that for the originally planned amount, he could purchase nine more chairs than he intended.

How many chairs did the hotelier originally want to buy?

(L. Simünek)

Hint: First solve the problem without the information that, for the originally planned amount, nine more chairs could be bought.

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