
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
Emily surveyed a group of people about their knowledge of bats. To the nearest tenth of a percent, she found that $74.5\%$ of the people surveyed thought bats carried diseases. Of the people who thought bats carried diseases, $52.3\%$ said that bats frequently carried Lyme disease. Since bats do not frequently carry Lyme disease, these 34 people were mistaken. How many total people did Emily survey?

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