Question

In a class of 60students, if the number of students who offer Maths is twice the number of students who offer English if 9 students offer both subjects and 3 students offer none of the subject, find the number of students who offer (i) maths
(ii) English
(iii) maths only
(iv) English only

Answer 1

57 (60 - 3) are M, E, or ME
... E + M + ME = 57
... E + M = 48

M + ME = 2 (E + ME)
... M + 9 = 2E + 18 ... M = 2E + 9

substituting
... E + 2E + 9 = 48 ... E = 13

(i) M + ME

(ii) E + ME

(iii) M

(iv) E

Answer 2

6
7
9
8