
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
A teacher calculated the average of 50 test scores as 77. Later, she realized one of the scores was mistakenly recorded as 97 instead of 79. She corrected the error and recalculated the average. Additionally, she mistakenly counted the average itself as an additional score, making the total count of numbers 51 when recalculating. Find the ratio of the new calculated average (including the average itself in the total) to the correct average.
**A)** 1:1  
**B)** 50:51  
**C)** 51:50  
**D)** 2:1  
**E)** None of these

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