
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
In a certain class, the average score of students who received an excellent grade in a math exam is 95, while the average score of those who did not receive an excellent grade is 80. Given that the average score of the entire class is at least 90, what is the minimum proportion of students who received an excellent grade in the class?

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