Question

75 students in a class like tea or coffee or both. Out of them 10 like both the drinks The ratio of the number of students who like tea to those who like coffee is 2 : 3 (i) Find the number of students who like tea, (ii) Find the number of students who like coffee only, (iii) Represent the above information in a Venn-diagram​

Answer 1

Step-by-step explanation:

total number of students=n(AUB) = 75

those who drink both =n(AnB) = 10

ratio tea to coffee= 2:3

let number of students like tea = 2x

number of students like coffee= 3x

n(AUB) =n(A) +n(B) -n(AnB)

75= 2x+3x-10

75+10=5x

85/5= x

x= 17

number of students like tea = 2x= 2×17= 34

number of students like coffee= 3x=3×17=51

Answer 2

Answer:

i) n(T)= 34

ii)n°(c) = 41

iii)See attached image

Step-by-step explanation:

see attached image.