
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
We went on a class trip. If 5 more people had contributed to the costs and each paid $6 \mathrm{Ft}$ more, we would have collected $792 \mathrm{Ft}$ more. However, if 4 fewer people had contributed and each paid $4 \mathrm{Ft}$ more, we would have collected $388 \mathrm{Ft}$ less. How many people were on the trip and how much did each person contribute?

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