
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
43 students have different amounts of money ranging from 8 cents to 50 cents, all different amounts. Each student spends all their money to buy picture cards. There are only two types of cards: one costs 3 cents each, and the other costs 5 cents each. Each student buys as many 5-cent cards as possible. How many 3-cent cards did they buy in total?

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