<|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
 In a group of 150 people who own pets, the following information is given: 
- 30 people own only dogs
- 25 people own only cats
- 10 people own only birds
- 7 people own only snakes
- 15 people own both cats and dogs
- 12 people own both birds and dogs
- 8 people own both birds and cats
- 3 people own both snakes and dogs
- 4 people own both snakes and cats
- 2 people own both snakes and birds
- 5 people own cats, dogs, and snakes
- 4 people own cats, dogs, and birds
- 6 people own cats, birds, and snakes
- 9 people own dogs, birds, and snakes
- 10 people own all four pets

How many total snakes are owned by the people in this group? 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
46
In a group of 150 people who own pets, the following information is given: 
- 30 people own only dogs
- 25 people own only cats
- 10 people own only birds
- 7 people own only snakes
- 15 people own both cats and dogs
- 12 people own both birds and dogs
- 8 people own both birds and cats
- 3 people own both snakes and dogs
- 4 people own both snakes and cats
- 2 people own both snakes and birds
- 5 people own cats, dogs, and snakes
- 4 people own cats, dogs, and birds
- 6 people own cats, birds, and snakes
- 9 people own dogs, birds, and snakes
- 10 people own all four pets

How many total snakes are owned by the people in this group?
test