Question

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?

Answer 1

Answer: 20% of the university students study a language

Explanation:

P = population of university studentsL = population of students studying language, L is not the total population, there are some students that only study history or philosophy.13P = language not english = notEL = notE + EnotE = 0.13PE = 0.35L L = 0.13P + 0.35LL - 0.35L = 0.13P0.65L = 0.13PL = (0.13/0.65)PL = 0.2P

Answer 2

44% of the university students study languages

Explanation:

Let university students = 100

students studying a language other than English = 13% of all university students

= 13% of 100 = 100 * 13/100 = 13 students

students left = 100 - 13 = 87

Students that study a language study English = 35% of students

= 35% of 87

= 87 * 35/100 = 87* .35 = 30.5 = 31 students

number of university students studying languages = 13 + 31

= 44

%age of the number of students studying languages

= 44/100 * 100 = 44%