
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
Mr. Abraham's class consists of 30 students, of whom 20 received an 'A' on the latest exam. Mrs. Berkeley, who teaches a different class, uses the same grading standards. If the proportion of students receiving an 'A' in Mr. Abraham's class holds for Mrs. Berkeley's class, and she has 18 students, how many students in Mrs. Berkeley's class received an 'A'? Furthermore, if Mrs. Berkeley's students continue to maintain this proportion of 'A's on a subsequent test, how many would you expect to receive an 'A' if her class size increases to 27 students?

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