
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
Given that Mr. Zhang plans to purchase single-piece software and boxed tapes with a budget of no more than 500 yuan, and the unit prices of the software and tapes are 60 yuan and 70 yuan, respectively. According to his needs, he must buy at least 3 pieces of software and 2 boxes of tapes, determine the number of different purchasing methods.

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