
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
Four times $A$'s money added to $B$'s money equals $60.00$. Six times $A$'s money minus $B$'s money equals $30.00$.
If $a$ represents $A$'s money in dollars and $b$ represents $B$'s money in dollars, then:
**A)** $a = 9, b = 24$  
**B)** $a = 10, b = 20$  
**C)** $a = 11, b = 18$  
**D)** $a = 12, b = 12$

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