Problem: the grade point average of one third of the classroom is 69 ; the grade point average of the rest is 60 . what is the grade point average of the whole class ?
Rationale: "let the number of students in class a be = x 1 + x 2 + . . . . . . + a 1 ( where a 1 = remaining students ) now the remaining avg of the students be a 1 / t = 60 a 1 = 60 t ( we are not sure on the number of students , assuming it as t ) . a = x 1 + x 2 + . . . . . . + a 1 ( first set of students + remaining students ) . one third of a students avg is 60 . a / 3 = 69 = > a = 207 . now x 1 + x 2 + . . . . . . + a 1 = 207 . x 1 + x 2 + . . . . . . = 207 - 60 t . we are not sure about the number of students in the remaining class + whole class and without that we ca n ' t solve this . answer : e is correct option ."
annotated_formula: add(multiply(divide(60, const_3), const_2), divide(69, const_3))