
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 distributor plans to purchase two types of agricultural products, $A$ and $B$. It is known that purchasing 2 units of type $A$ and 3 units of type $B$ costs a total of $690$ yuan; purchasing 1 unit of type $A$ and 4 units of type $B$ costs a total of $720$ yuan. What is the price per unit of type $A$ and type $B$?

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