In a network of car dealerships, a group of \(d\) sales directors each has a team of \(a\) sales associates. In a given month, if the directors each sold 10 cars and each sales associate sold 20 cars, and all cars were sold by either a sales director or a sales associate, how many people total sold cars?

(1) The total number of cars sold was 270.

(2) \(a > d > 2.\)

[spoiler]OA=C[/spoiler]

Source: Veritas Prep