
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 mother takes her triplets and a younger child to an amusement park where different pricing applies for adults and children based on their age. The amusement park charges $9.75$ for the mother and $0.75$ for each year of a child's age. If the total bill amounts to $18.75$, calculate the possible ages of the youngest child.
A) 1
B) 3
C) 5
D) 6
E) 7

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