
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
A sports tournament involved 180 students from Union Middle School, and the average score recorded was 90. The number of boys in the tournament was 20% more than the number of girls, and the average score of the girls was 25% less than that of the boys. What was the average score of the boys?
A) $95$
B) $98$
C) $100$
D) $102$
E) $105$

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