Question

In a class, there are 40 students. One-fourth of the students are boys, out of these boys one-fifth play basketball and the remaining play football. What is the fraction of boys playing football when compared to the entire class?

• A. $\frac{2}{40}$
• B. $\frac{8}{40}$
• C. $\frac{16}{40}$
• D. $\frac{4}{40}$

Answer 1

The correct option is B $\frac{8}{40}$

Fraction of boys studying in class = $\frac{1}{4}$
So, the total number of boys in the class is equal to
$\frac{1}{4}\times 40=40÷4=10$

Now, out of these 10 boys in the class, only one-fifith or $\frac{1}{5}$ play basketball.
Hence, the total number of boys playing basketball is equal to
$\frac{1}{5}\times 10=10÷5=2$

The total number of boys playing football is equal to $10-2=8$

So, now we can calculate the fraction of boys playing football with respect to the entire class.

$Fraction=\frac{Numberofboysplayingfootball}{Totalnumberofstudents}$

$Fraction=\frac{8}{40}$