
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]


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During the epidemic prevention and control period, a school purchased 80 bottles of Class A disinfectant (1000ml/bottle) and 35 bottles of Class B disinfectant (2500ml/bottle) for a total of 2250 yuan. It is known that buying a bottle of Class A disinfectant costs 15 yuan less than buying a bottle of Class B disinfectant.
(1) Find out how much it costs to buy one bottle of Class A disinfectant and one bottle of Class B disinfectant each.
(2) As the epidemic is gradually being controlled, the school plans to purchase a total of 50 bottles of Class A and Class B disinfectants with a budget of no more than 1200 yuan. If the unit price remains the same, how many bottles of Class A disinfectant should be purchased at least this time?

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