
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 pooled money to buy a PlayStation for $\textdollar 120$. The first friend paid one-third of the sum of the amounts paid by the other friends; the second friend paid one-fourth; the third friend paid one-fifth, and the fourth friend paid one-sixth of the sum of the amounts paid by the other friends. How much did the fifth friend pay?
A) $\textdollar 30$
B) $\textdollar 35$
C) $\textdollar 40$
D) $\textdollar 45$
E) $\textdollar 50$

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