
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
Kisya and Busya went to the buffet during recess, where only cookies and buns were sold, each costing an integer number of rubles. Kisya bought 8 cookies and 3 buns, spending less than 200 rubles, and Busya bought 4 cookies and 5 buns, spending more than 150 rubles. What is the highest possible price for one cookie?

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