A certain psychologist charges $20 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 $300, what is the total charge to a patient who receives only 3 hours of therapy ?
Choose one:
A) $ 120 B) $ 135 C) $ 150 D) $ 165 E) $ 188

Rationale: "let the charge for first hour = x + 20 then charge for each additional hour = x x + 20 + 4 x = 300 = > 5 x = 280 = > x = 56 total charge for patient for 3 hours of therapy = x + 20 + 2 x = 3 x + 20 = 188 $ answer e"
Answer: E