Question

In a class of 60 students, 45 students like music, 50 students like dancing, 5 students like neither. Then the number of students in the class who like both music and dancing?​

Answer 1

Answer:

Correct option is

40

Step-by-step explanation:

Total number of students in class =60

Students who like music =X+Y=45

Students who like dancing =Y+Z=50

Students who like nothing =5

Students who like both music and dancing =Y

We know that X+Y+Z+5=60

⇒45+Z+5=60

⇒Z=10

⇒Y=40

Answer 2

$\huge\color{pink}\boxed{\colorbox{black}{Answer࿐}}$

Total number of students in class = 60

Students who like music = X + Y = 45

Students who like dancing = Y + Z = 50

Studenrs who like nothing = 5

Students who like both music and dancing = Y

We know that X + Y +Z + 5 = 60

$\large\pink{\mathtt{→45 \: + \: Z \: + \: 5 \: = \: 60}}$

$\large\pink{\mathtt{→Z \: = \: 10}}$

$\large\pink{\mathtt{→Y \: = \: 40}}$

Hence, 40 students like both music and dancing.