
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
If a jar contains $5$ different colors of gumdrops, where $40\%$ are blue, $15\%$ are brown, $10\%$ are red, $20\%$ are yellow, and the rest are green, and there are $50$ green gumdrops in total, calculate the number of yellow gumdrops after a third of the red gumdrops are replaced with yellow gumdrops.

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