
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
In a resort, three people filled out 30 lottery tickets together. For this, $A$ contributed 25 Ft, $B$ contributed 36 Ft, and $C$ contributed 38 Ft. They won multiple times, receiving 1100 Ft in total. From this, they bought 30 monthly (5-week) tickets and 20 weekly tickets, and the remaining money was divided such that $C$ received twice as much as $B$, and $B$ received twice as much as $A$. They won again, receiving 73,000 Ft. They decided they could no longer play together and agreed to divide the second week's winnings in proportion to their contributions and to each take 10 of the future tickets. How much cash did each person receive?

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