
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 organize the school cultural art festival, Class A and Class B plan to purchase a performance outfit for each student participating in the choir. If the total number of students in both classes is 92, and Class A has more students than Class B but fewer than 90, below is the price table provided by the supplier for the performance outfits:

\[
\begin{array}{|c|c|c|c|}
\hline 购买服装套数 & 1 至 45 套 & 46 至 90 套 & 91 套以上 \\
\hline 每套服装价格 & 60 元 & 50 元 & 40 元 \\
\hline
\end{array}
\]

If the two classes purchase outfits separately for their students, the total cost is 5020 yuan.
1. How much money can be saved if Classes A and B purchase the outfits together instead of separately?
2. How many students are there in each of Classes A and B?

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