Question

5. In a school, 50% of the pupils are in the Music club
and 75% of them are in the Sports club. If 45% of
the students are in both clubs, and there are 70
students who are in neither of the two clubs, how
many total students are there in the school?
A) 20 B) 88 C) 200 D) 250 E) 350​

Answer 1

Answer:

C.

Step-by-step explanation:

Answer 2

Answer:

350

Step-by-step explanation:

If there are 100 students then,

n(M) = 50

n(S) = 75

n(M∩S) = 45

so, n(M∪S) = 50 + 75 - 45 = 80

n(M∪S)' = n(U) - n(M∪S) = 100 - 80 = 20

now 20% of the students = 70 students

So, (x*20)/100 = 70

or, x = (70*100)/20 = 350