Mid-size:240/10=<<240/10=24>>24 inches

Small Model:24/2=<<24/2=12>>12 inches

# Answer

12
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Ryan builds model mustang cars.  A full size mustang is 240 inches long.  The mid-size model that Ryan creates is 1/10th the size, and the smallest model that Ryan creates is half the size of the mid-size model.  How many inches long is the smallest model mustang?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
12
Ryan builds model mustang cars.  A full size mustang is 240 inches long.  The mid-size model that Ryan creates is 1/10th the size, and the smallest model that Ryan creates is half the size of the mid-size model.  How many inches long is the smallest model mustang?
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