
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

Professor Ana went to buy cheese bread to honor the students awarded in the OBMEP, and:

- Each 100 grams of cheese bread costs $R \$ 3.20$ and corresponds to 10 pieces of cheese bread.
- Each person eats, on average, 5 pieces of cheese bread.

Besides the professor, there will be 16 students, 1 monitor, and 5 parents. The precision of the bakery's scale is 100 grams.

(a) How many grams of cheese bread should she buy so that each person can eat at least five pieces?

(b) In this case, how much will the professor spend?

(c) If each person eats five pieces of cheese bread, will there be any leftover?

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