Washington High School randomly selected freshman, sophomore, junior, and senior students for a survey about potential changes to next year's schedule. Of the students selected for the survey, 1/4 were freshmen, and 1/3 were sophomores. Half of the remaining selected students were juniors. If 336 students were selected for the survey, how many were seniors?

Explanation

Choice D is correct. It is given that the number of students surveyed was 336. Finding 1/4 of 336 yields (1/4)(336) = 84, the number of freshmen, and finding 1/3 of 336 yields (1/3)(336) = 112, the number of sophomores. Subtracting these numbers from the total number of selected students results in 336 − 84 − 112 = 140, the number of juniors and seniors combined. Finding half of this total yields (1/2)(140) = 70, the number of juniors. Subtracting this number from the number of juniors and seniors combined yields 140 − 70 = 70, the number of seniors.