
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 a jar contains 6 different colors of jelly beans with respective percentages of $25\%$ red, $20\%$ orange, $25\%$ purple, $15\%$ yellow, $10\%$ green, and $5\%$ blue, and one-third of the red jelly beans are replaced with purple jelly beans, calculate the new quantity of purple jelly beans.

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