Question

In a class, all students take part in either music or drama or both. 25 students take part in music, 30 students take part in drama and 8 students take part in both music and drama. find (i) t he number of students who take part in only music. (ii) the number of students who take part in only drama. (iii) the total number of students in the class.

Answer 1

only music=25-8=17
only drama=30-8=22
total in class =17+22+8
=47

Answer 2

Answer:

47

Step-by-step explanation:

No. of students take part in music = 25

No. of students take part in drama = 30

No. of students take part in both = 8

No. of students take part in only music = No. of students take part in music -No. of students take part in both = 25-8= 17

No. of students take part in only drama = No. of students take part in drama -No. of students take part in both = 30-8= 22

Total no. of students in class = No. of students take part in music +No. of students take part in drama  - No. of students take part in both = 25+30-8= 47

Hence,

(i) the number of students who take part in only music is 17

(ii) the number of students who take part in only drama is 22

(iii) the total number of students in the class is 47