
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
Given Alex starts with $100$ red tokens and $100$ blue tokens, and there are three booths where Alex can exchange tokens: 
1. Four red tokens for two silver tokens and one blue token, 
2. Five blue tokens for two silver tokens and one red token, 
3. Three red tokens and three blue tokens for three silver tokens, 
determine the total number of silver tokens Alex will have at the end.

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