<|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: John adopts a dog.  He takes the dog to the groomer, which costs $100.  The groomer offers him a 30% discount for being a new customer.  How much does the grooming cost?<|im_end|>
<|im_start|>assistant
Solution:
The groomer gave a 100*.3=$<<100*.3=30>>30 discount
So the grooming cost 100-30=$<<100-30=70>>70
#### 70<|im_end|>
