
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
At Western High School, the $150$ students who attend the weekly Math Club decided to celebrate their latest competition results. Each student will average three cupcakes each. Missy and Gordon are planning to bake using their Cupcake Craze recipe which yields $20$ cupcakes per batch. The list for each batch includes:
- $2$ cups of flour
- $3$ eggs
- $4$ tablespoons butter
- $1$ cup sugar
- $2$ packages of sprinkles

Missy and Gordon insist on making only complete batches. After a last-minute announcement, $20\%$ of the students cannot attend. How many batches should they prepare?

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