
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 that Sarah answered $85\%$ of the questions correctly in a $30$-question test, $75\%$ on a $20$-question test, and $90\%$ on a $50$-question test but made $3$ calculation mistakes overall that were counted as incorrect, determine the percentage of all the questions that Sarah answered correctly, after considering the mistakes.

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