
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 a certain product. Each item costs 40 yuan. According to market research, if the selling price is 50 yuan per item, 150 items can be sold. For every 1 yuan increase in the selling price, the sales volume will decrease by 5 items. If the store made a profit of 1500 yuan after selling all the items of this product, what is the number of items sold and the selling price per item?

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