
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 certain shopping mall plans to purchase two types of products, $A$ and $B$. If purchasing 20 units of product $A$ and 15 units of product $B$ costs $380$ yuan; and purchasing 15 units of product $A$ and 10 units of product $B$ costs $280$ yuan, find the cost price of products $A$ and $B$ respectively.

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