
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 the Big City Hospital during one year, multiple-birth statistics were recorded as follows: Sets of twins, triplets, and quadruplets totaled $1500$ babies born. There were three times as many sets of triplets as sets of quadruplets, and there were five times as many sets of twins as sets of triplets. How many of these $1500$ babies were in sets of quadruplets?
A) 130
B) 134
C) 136
D) 140
E) 142

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