
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
One evening a theater sold 300 tickets for a concert. Each ticket sold for \ $40, and all tickets were purchased using \$ 5, \ $10, and \$ 20 bills. At the end of the evening the theater had received twice as many \ $10 bills as \$ 20 bills, and 20 more \ $5 bills than \$ 10 bills. How many bills did the theater receive altogether?

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