
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
Last year, Century Middle School had 100 students participating in "AHSME," and their average score was 100. The number of non-graduating students was 50% more than the number of graduating students, and the average score of graduating students was 50% higher than that of non-graduating students. Calculate the average score of the graduating students.

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