
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
Several girls were collecting mushrooms. They divided the mushrooms among themselves as follows: one of them received 20 mushrooms and 0.04 remainder, another received 21 mushrooms and 0.04 of the new remainder, the third received 22 mushrooms and 0.04 remainder, and so on. It turned out that everyone received the same amount. How many girls were there and how many mushrooms did they collect in total?

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