
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
Four friends bought a soccer ball together. The first one contributed 2 rubles and 30 kopecks, the second one contributed a third of the amount contributed by the others, the third one contributed a quarter of the amount contributed by the others, and the fourth one contributed a fifth of the amount contributed by the others. Determine the cost of the purchase and the amount contributed by each boy.

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