<|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
 Jason's dog has a tail that's half the length of its body, and a head that's 1/6 the length of its body. The dog is also 1.5 times taller than it is wide. The dog weighs 36 pounds, and the length of its tail is directly proportional to its weight. If the dog is 30 inches long overall and 12 inches wide, how long is its tail given its weight? 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
10
Jason's dog has a tail that's half the length of its body, and a head that's 1/6 the length of its body. The dog is also 1.5 times taller than it is wide. The dog weighs 36 pounds, and the length of its tail is directly proportional to its weight. If the dog is 30 inches long overall and 12 inches wide, how long is its tail given its weight?
test