A certain psychologist charges $30 more for the first hour of therapy than for each additional hour. If the total charge to a patient who receives 5 hours of therapy is $400, what is the total charge to a patient who receives only 3 hours of therapy ? Choose the correct choice from the following.
A) $ 120 B) $ 135 C) $ 150 D) $ 165 E) $ 252

Rationale: "let the charge for first hour = x + 30 then charge for each additional hour = x x + 30 + 4 x = 400 = > 5 x = 370 = > x = 74 total charge for patient for 3 hours of therapy = x + 30 + 2 x = 3 x + 30 = 252 $ answer e"
Answer: E