
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 Liam buys $20$ pencils and $4$ erasers for a total of $160$ cents, and that the price of pencils and erasers are whole numbers of cents, determine the total cost, in cents, of one pencil and one eraser.

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