
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 Roger's allowance is $A, and the price of the soda is 5% of the difference between his allowance and the price of the movie ticket, where the price of the movie ticket is 20% of the difference between his allowance and the price of the soda, find the percentage of his allowance that was spent on the movie ticket and soda.

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