
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
A group of boys and girls went out to eat pizza on two consecutive days. At the restaurant they visited, the pizzas are cut into twelve equal slices. Maria observed that on the first day each boy ate 7 slices, and each girl ate 3 slices. On the second day, each boy ate 6 slices and each girl ate 2 slices. Interestingly, on both days they ordered four pizzas that were completely consumed and then ordered one more, from which some slices were left over (i.e., at least one slice was eaten and at least one slice was left). How many boys and girls went to the pizzeria?

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