Of all the students in a certain dormitory, 1/2 are first-year students and the rest are second-year students. If 4/5 of the first-year students have not declared a major and if the fraction of second-year students who have declared a major is 4 times the fraction of first-year students who have declared a major, what fraction of all the students in the dormitory are second-year students who have not declared a major?  Choose the correct choice from the following options:
A) 1/15
B) 4/5
C) 4/15
D) 1/5
E) 2/5
tot students=x   1st year student=x/2----&gt; non majaor=4/5(x/2)-----&gt; maj=1/5(x/2)   2nd year student=x/2----&gt;maj=4(1/5(x/2))=2/5(x)---&gt;non major=x/2-2/5(x)=1/5(x)   hence 1/5   1/5
<result>D</result>
Of all the students in a certain dormitory, 1/2 are first-year students and the rest are second-year students. If 4/5 of the first-year students have not declared a major and if the fraction of second-year students who have declared a major is 4 times the fraction of first-year students who have declared a major, what fraction of all the students in the dormitory are second-year students who have not declared a major?