
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
At Metrocity Hospital one year, the multiple-birth statistics indicated that sets of twins, triplets, and quadruplets accounted for $1500$ of the babies born. There were three times as many sets of triplets as sets of quadruplets, and there were twice as many sets of twins as sets of triplets. Calculate how many of these $1500$ babies were in sets of quadruplets.
A) 160
B) 200
C) 240
D) 320
E) 400

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