
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
Aunt Wang went to buy fruits. She paid $40$ yuan for $3$ kg of mangoes and $2$ kg of bananas. However, she mistakenly thought that she needed to pay $35$ yuan due to mixing up the unit prices of the two fruits. What are the unit prices of mangoes and bananas that Aunt Wang bought?

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