
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 Clara gets the disease calcuvitis and must take one blue pill and one red pill each day for 10 days, find the cost of one blue pill given that a blue pill costs $\textdollar 2$ more than a red pill and Clara's pills cost a total of $\textdollar 480$ for the 10 days.

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