PK 2018 Q13
13. At the University of Bugelstein you can study Languages, History and Philosophy.
35% of students that study a language study English.
13% of all the university students study a language other than English.
No student studies more than one language.
What percentage of the university students study Languages?
- A 13 %
- B 20 %
- C 22 %
- D 48 %
- E 65 %
Pink Kangaroo 2018, Question 13. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: B 20 %
English is taken by 35% of language students, so 65% of language students don’t take English. These are stated as 13% of the overall university population. So 1% of the overall university population is the same as 5% of the language students. Hence 20% of the university population is 100% of the language students.
Solution © UK Mathematics Trust, from the PK 2018 solutions.