Question

In a class, a certain number of students opted to participate in a cultural competition comprising of 3 items music, recitation and drama.of these students 53% showed interest for music&35% showed interest for recitation. if 8% students of the whole class showed interest for drama, what percent of the students didn’t participate in the cultural program?​

Answer 1

33.33% percent of the students didn’t participate in the cultural program

Step-by-step explanation:

Consider the provided information.

Let there are 100 students.

The number of students didn’t participate in the cultural program is n.

That means 100-n people shows the interest.

53% showed interest for music

53% of (100-n) = 0.53(100-n)

35% showed interest for recitation.

35% of (100-n) = 0.35(100-n)

8% students of the whole class showed interest for drama.

8% of 100 = 8

Hence the total number of student is:

Sum of interested student + not interested student

0.53(100-n)+0.35(100-n)+8+n=100

53-0.53n+35-0.35n+8+n=100

0.88n-n+96=100

0.12n=4

n=33.33

Hence, 33.33% percent of the students didn’t participate in the cultural program

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