Question

In a class of 60 students , 1/5 of the total students like to study English , 2/5 of the total like to study Science and the remaining like to study Mathematics.How many students like to study Mathematics

Answer 1

Answer:

1 - (1/5+2/5) = 2/5

2/5 of 60 students

=2/5×60

=2×12

=24 students

Answer 2

Given :

Total students in a class : 60

Part of students like English : ⅕

Part of students like Science : ⅖

Remaining students like Mathematics.

To find :

Number of students like Mathematics.

Solution :

To find the number of students those who like mathematics, first we should find the number of students who like science and English.

Number of students like English :

${\sf \dashrightarrow \dfrac{1}{5} \times 60}$

${\sf \dashrightarrow \dfrac{1 \times 60}{5} = \dfrac{60}{5}}$

${\sf \dashrightarrow \cancel \dfrac{60}{5} = 12}$

Number of students like science :

${\sf \dashrightarrow \dfrac{2}{5} \times 60}$

${\sf \dashrightarrow \dfrac{2 \times 60}{5} = \dfrac{120}{5}}$

${\sf \dashrightarrow \cancel \dfrac{120}{5} = 24}$

Now, let's find the number of students those who like mathematics.

Number of students like mathematics :

${\sf \dashrightarrow 60 - (12 + 24)}$

${\sf \dashrightarrow 60 - 40}$

${\sf \dashrightarrow 20 \: students}$

Hence, 20 students in the class like to study Mathematics.