
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
Given that a store usually sells windows at $100 each, and for every ten windows bought, the buyer receives two windows for free, Alice needs nine windows and Bob needs eleven windows. What is the amount they will save if they purchase the windows together rather than separately?

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