
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
Five friends contribute to buy a boat for $\textdollar 100$. The first friend pays one third of the sum of the amounts paid by the other four; the second friend pays one quarter of the sum of the amounts paid by the other four; and the third friend pays one fifth of the sum of the amounts paid by the other four. The fifth friend pays a fixed amount of $\textdollar 20$. How much did the fourth friend pay?
A) $19.95$
B) $20.50$
C) $20.85$
D) $22.30$

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