Each student in St. Mary school studies either French, German, or both. There are 140 students who study French and 40% of the students study exactly one of these languages. If 10% of the students study only French, how many students study only German?A) 20
B) 60
C) 80
D) 180
E) 200
Since there are no students who study neither French nor German (so Neither = 0), we can write:
{Total} = {Only French} + {Only German} + {Both}
It is given that {Only French} + {Only German} = 40% of the total and {Only French} = 10% of the total. Therefore, {Only German} = 30% of the total.
Furthermore, since 140 students study French, then {Only French} + {Both} = 140.
So, we get:
{Total} = 140 + {Only German}
{Total} = 140 + 0.3{Total}
{Total} = 200
Hence, {Only German} = 0.3{Total} = 0.3*200 = 60.
Answer: B.