
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
Person A, Person B, and Person C go on an excursion. Person A buys 9 sausages, Person B buys 6 loaves of bread, and Person C buys 3 bottles of mineral water. The money spent by Person B is $\frac{12}{13}$ of what Person A spent, and the money spent by Person C is $\frac{2}{3}$ of what Person B spent. Person C gives out 9 yuan to Person A and Person B based on the proportion of money spent by each. How much of the 9 yuan does Person A receive? How much does Person B receive?

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