
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 has $100$ red tokens and $50$ blue tokens. At the fair, there are booths for exchanging tokens: one booth takes $3$ red tokens and gives back $2$ silver tokens and $1$ blue token, and another booth takes $4$ blue tokens to give $1$ silver token and $1$ red token. Alex continues to exchange tokens until further exchanges are not possible. Determine how many silver tokens Alex will have at the end.
**A)** 55
**B)** 56
**C)** 57
**D)** 58
**E)** 59

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