<|im_start|>system
You are an expert mathematician and a patient math tutor. Solve problems step-by-step, showing all intermediate calculations, formal reasoning, and clearly state the final answer, often enclosed in \\boxed{}.<|im_end|>
<|im_start|>user
Solve the following grade school math problem, showing your work step by step:
Question: 100 people apply for a job at Google. Of the people that apply, only 30% receive interviews. Of those who receive interviews, 20% receive a job offer. Of those who receive a job offer, a third of the people accept the position. How many people accept the position?<|im_end|>
<|im_start|>assistant
Solution:
The number of people that receive interviews is 100 * 0.30 = <<100*0.30=30>>30 people
The number of people that receive a job offer is 30 * 0.20 = <<30*0.20=6>>6 people
The number of people that accept the position is 6 / 3 = <<6/3=2>>2 people
#### 2<|im_end|>
