
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 sum of six times $A$'s money and $B$'s money equals $66.00$. Four times $A$'s money plus $B$'s money is less than $48.00$. If $a$ represents $A$'s money in dollars and $b$ represents $B$'s money in dollars, solve for $a$ and $b$.
**A)** $a > 10, b = 6$
**B)** $a > 9, b < 6$
**C)** $a > 9, b = 6$
**D)** $a > 9, b > 6$
**E)** $2a = 3b$

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