Question

Of $60$ students in a class $\frac{2}{3}$ are girls, and $\frac{2}{5}$ of the class are taking music lessons. What is the maximum number of girls that are not taking music lessons?

• A. 24
• B. 30
• C. 36
• D. 42

Answer 1

Answer: (C)

36

Total students $=60$

$\Rightarrow \frac{2}{3}$ are girls

$\therefore$ No. of girls $=$ $\frac{2}{3}\times 60=40$

No. of boys $=$ $60-40=20$

No. of students who are taking music lesson $=$ $\frac{2}{5}$ of $

$\Rightarrow \frac{2}{5}\times 60=24$

In $24$ students, there are $20$ boys so the no. of girls $=4$

$\therefore$ the girls that are not taking music lesson $=$ $40-4=36$.