
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 a school mentorship program, each ninth grader can be paired with only one sixth grader, and no sixth grader is paired with more than one ninth grader. If 1/4 of the ninth graders are paired with 1/3 of the sixth graders, what fraction of the total number of sixth and ninth graders have a buddy?
A) \( \frac{1}{6} \)
B) \( \frac{1}{5} \)
C) \( \frac{2}{7} \)
D) \( \frac{3}{10} \)
E) \( \frac{1}{4} \)

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