The grade point average of the entire class is 87. If the average of one third of the class is 95, what is the average of the rest of the class? Choose the correct choice:  A) 81  B) 82  C) 83  D) 84  E) 85

Rationale: "let x be the number of students in the class . let p be the average of the rest of the class . 87 x = ( 1 / 3 ) 95 x + ( 2 / 3 ) ( p ) x 261 = 95 + 2 p 2 p = 166 p = 83 . the answer is c ."
Answer: C