
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 four bags of jelly beans contain 30, 32, 34, and 36 beans, with yellow beans being 40%, 30%, 25%, and 10% of the respective numbers of beans in each bag, calculate the ratio of yellow jelly beans to all beans in the bowl.

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