A foreign language club at Washington Middle School consists of n students, 1/2 of whom are boys. All of the students in the club study exactly one foreign language. 1/3 of the girls in the club study Spanish and 4/5 of the remaining girls study French. If the rest of the girls in the club study German, how many girls in the club, in terms of n, study German? Options:
A) 2n / 5 B) n / 3 C) n / 5 D) 2n / 15 E) n / 15
1/2 of the students are boys, thus 1/2 of the students are girls.   1/3 of the girls in the club study Spanish and 4/5 of the remaining girls study French.   Thus 1/5 of 2/3 = 2/15 of the girls study German.   Since girls comprise 1/2 of the students, then 1/2*2/15 = 1/15 are girls who study German.   The answer is n / 15.
<result>E</result>
A foreign language club at Washington Middle School consists of n students, 1/2 of whom are boys. All of the students in the club study exactly one foreign language. 1/3 of the girls in the club study Spanish and 4/5 of the remaining girls study French. If the rest of the girls in the club study German, how many girls in the club, in terms of n, study German?