
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 hotel has two types of rooms: single rooms and double rooms. Staying in $3$ single rooms and $6$ double rooms costs a total of $1020$ yuan. Staying in $1$ single room and $5$ double rooms costs a total of $700$ yuan. Find the total cost of staying in $5$ single rooms and $5$ double rooms.

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