
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
Alex starts with 100 red tokens and 50 blue tokens. At a booth, he can exchange 3 red tokens for 1 silver token and 2 blue tokens, and in another booth, he can exchange 4 blue tokens for 1 silver token and 1 red token. Determine the number of silver tokens Alex will have at the end.

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