
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
In Ms. Carter's class, half of the boys and $\frac{2}{3}$ of the girls passed a handwriting test. Additionally, the number of boys who passed the test was exactly five more than the number of girls who passed. What is the minimum possible number of students in the class?
A) 12  
B) 15  
C) 17  
D) 20  
E) 24

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