
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
Given the average running times of sixth graders, seventh graders, and eighth graders as 20, 18, and 22 minutes per day, respectively, where the ratio of the number of sixth graders to the number of eighth graders is 3:1 and the ratio of the number of seventh graders to the number of eighth graders is 2:1, calculate the average number of minutes run per day by these students.

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