The score for half of the students in a class on a certain test was 90. The score for another fourth of the students was 84. if the average (arithmetic mean) score for all of the students was 82, what was the average score for the remaining students?

Answer 1

1/2 (90) + 1/4 (84) + 1/4 (x) = 82
LCD = 4
2 (90) + 1 (84) + 1 (x) = 4 (82)
180 + 84 + x = 328
x = 328 - 180 - 84
x = 64