
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 seventh chapter "Surplus and Deficit" of "The Nine Chapters on the Mathematical Art", the first problem states: "Now there are people buying something together, if each person contributes 8 coins, there will be a surplus of 3 coins; if each person contributes 7 coins, there will be a deficit of 4 coins. What are the number of people and the price of the item?" In modern terms, this can be stated as: Several people are pooling money to buy an item. If each person contributes 8 yuan, they will have a surplus of 3 yuan; if each person contributes 7 yuan, they will be short by 4 yuan. What are the number of people and the price of the item? Answer: The total number of people is $\boxed{\text{answer}}$; The price of the item they are buying is $\boxed{\text{answer}}$ yuan.

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