
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
Jenny and Joe shared a pizza that was cut into 12 slices. Jenny prefers a plain pizza, but Joe wanted mushrooms on four of the slices. A whole plain pizza costs $12. Each slice with mushrooms adds an additional $0.50 to the cost of that slice. Joe ate all the mushroom slices and three of the plain slices. Jenny ate the remaining plain slices. Each paid for what they had eaten. What is the difference, in dollars, that Joe paid compared to Jenny?

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