
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
Jack had a bag of $150$ apples. He sold $30\%$ of them to Jill. Then, he sold $20\%$ of the remaining apples to June. After that, Jack ate two apples. Finally, he gave the shiniest one of what was left to his teacher. How many apples did Jack have then?
A) 79
B) 80
C) 81
D) 82
E) 83

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