human
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?
assistant
Define a variable ** Let x represent the number of miles Kati drives
How many miles does Michelle drive? ** Michelle:3x
How many miles does Tracy drive? ** Tracy:20+2(3x)=20+6x
Write an equation ** Total:x+3x+20+6x=1000
Combine like terms ** 10x+20=1000
Subtract 20 ** 10x=980
Divide by 10 ** x=<<98=98>>98 miles
How many miles does Michelle drive? ** 3(98)=<<3*98=294>>294 miles
#### 294