Question

Class p has 30 students of which 20 like music. In class q, 10 students like music. Find the number of students in class q if the average number of students who like music in a class is 16.

Answer 1

25is the answer. thanks for question

Answer 2

Answer: There are 20 students in class q.

Step-by-step explanation:

Since we have given that

Number of students in class p = 30

Number of students in class p like music = 20

Number of students in class q who like music = 10

Number of students in class q be 'x'.

Average number of students who like music in a class = 16

According to question, we have that

$\dfrac{20\times 30+10\times x}{30+x}=16\\\\\dfrac{600+10x}{30+x}=16\\\\600+10x=16(30+x)\\\\600+10x=480+16x\\\\600-480=16x-10x\\\\120=6x\\\\x=\dfrac{120}{6}=20$

Hence, there are 20 students in class q.