
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
At the beginning of this year, the novel coronavirus pneumonia hit Hubei province, with Wuhan being the hardest-hit area. A kind-hearted person purchased N95 masks twice to support Wuhan. The first time, they spent 500,000 yuan, and the second time, they spent 770,000 yuan on the same quantity of N95 masks. It is known that the unit price of the masks purchased the second time was 1.4 times that of the first time, and they bought 10,000 more masks than the first time. Find the unit price of the masks purchased by this kind-hearted person the first time.

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