
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
To promote the traditional virtues of diligence and frugality, the student union organized the first "campus flea market," attracting many students. The table below shows Xiao Ying's record of six transactions on the first day of participating in the flea market (positive for income and negative for expenses):

| Serial Number | 1 | 2 | 3 | 4 | 5 | 6 |
|---------------|---|---|---|---|---|---|
| Transaction (in yuan) | +25 | -6 | +18 | +12 | -24 | -15 |

$(1)$ Which transaction had the highest income? How much money was spent in the transaction with the highest expenditure?  
$(2)$ What is the total amount of Xiao Ying's six transactions in yuan?  
$(3)$ Xiao Ying had $40$ yuan at the beginning of the day. After completing the six transactions, did her money increase or decrease? How much money does she have now?

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