Let x represent the number of miles Kati drives

Michelle:3x

Tracy:20+2(3x)=20+6x

Total:x+3x+20+6x=1000

10x+20=1000

10x=980

x=<<98=98>>98 miles

3(98)=<<3*98=294>>294 miles

# Answer

294
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Tracy, Michelle, and Kati take a road trip that is a total of 1000 miles.  Tracy drives 20 miles more than twice Michelle, and Michelle drives 3 times the amount that Katie drives. How many miles does Michelle drive?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
294
Tracy, Michelle, and Kati take a road trip that is a total of 1000 miles.  Tracy drives 20 miles more than twice Michelle, and Michelle drives 3 times the amount that Katie drives. How many miles does Michelle drive?
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