
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
Maria and John shared a pizza with 10 equally-sized slices. Maria wanted a plain pizza, but John wanted olives on one-third of the pizza. The cost of a plain pizza was $10$ dollars, and there was an additional cost of $3$ dollars for putting olives on one-third of the pizza. John ate all the slices with olives and two plain slices. Maria ate the remainder. Each paid for what they had eaten. How many more dollars did John pay than Maria?

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