
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
The average (arithmetic mean) age of a group consisting of teachers and engineers is 45. If the teachers average 40 years and the engineers average 55 years old, then the ratio of the number of teachers to the number of engineers is?
A) $3:2$
B) $3:1$
C) $1:1$
D) $2:3$
E) $2:1$

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