
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 store sells three types of birthday cards: A, B, and C. It is known that type A cards cost 0.5 yuan each, type B cards cost 1 yuan each, and type C cards cost 2.5 yuan each. The sales clerk summarized the business situation in March as follows: a total of 150 cards were sold, and the total income was 180 yuan. How many type C cards were sold in March at least?

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