
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]


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A certain high school's senior grade has a total of 1000 students. Using the method of random sampling, a sample of 150 students is selected. Now, we are investigating the number of students in the senior grade who applied to first-tier colleges. If there are 60 students in the sample who applied, calculate the total number of students who applied to first-tier colleges.

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