
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 store usually sells doors at $120 each. This week the store is offering one free door for every three bought. If Alice needs six doors and Bob needs nine doors, determine the amount of money they will save if they purchase the doors together instead of separately.

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