<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 Each person in Cambridge drinks a (possibly different)  $12$  ounce mixture of water and apple juice,
where each drink has a positive amount of both liquids. Marc McGovern, the mayor of Cambridge, drinks  $\frac{1}{6}$  of the total amount of water drunk and  $\frac{1}{8}$  of the total amount of apple juice drunk. How many people are in Cambridge?

 Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
7
Each person in Cambridge drinks a (possibly different)  $12$  ounce mixture of water and apple juice,
where each drink has a positive amount of both liquids. Marc McGovern, the mayor of Cambridge, drinks  $\frac{1}{6}$  of the total amount of water drunk and  $\frac{1}{8}$  of the total amount of apple juice drunk. How many people are in Cambridge?


test