Please answer the following question by reasoning step-by-step.
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?

294
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 miles.

3(98) = 294 miles.

.

The final answer: 294