
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
There is a sum of money used to buy a notebook for each student in class 4 (1). If each notebook costs 3 yuan, 6 more notebooks can be bought. If each notebook costs 5 yuan, there is a 30-yuan shortfall. If this sum of money is exactly used to buy one notebook for each student, how many notebooks are bought in total and how many of them are 3-yuan notebooks?

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