
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
After the epidemic, the tourism market in Yunnan has shown strong recovery this year. A travel agency rented two types of rooms, $A$ and $B$, during the Spring Festival this year. The number of rooms rented for $A$ at $4800$ yuan is the same as the number of rooms rented for $B$ at $4200$ yuan. The rent for each $A$ room this year is $30$ yuan more than the rent for each $B$ room. Find the rent for each $A$ and $B$ room this year.

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