Question

5. In a class of 50 students, 1/5 of the total number of students like to study English, 2/5 of the total number like to study Math and the remaining like to study science. (a) What fraction of the total number of students like to study Science? (b) How many students like to study English, Math and Science?
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Answer 1

Answer:

a) 2/5 ( because 1/5 for english 2/5 for math and the remaining are of science)

b)in science there are 20 students

in maths there are 20 students involved

in english 10 students are there

english+science+maths

10+20+20

=50

Step-by-step explanation:

hope this will help you

Answer 2

Given :

Total number of students : 50

Part of students like English : ⅕

Part of students like Maths : ⅖

Remaining of them like to study science.

To find :

Part of students like to study science

Number of students like to study English, Math and Science.

Solution :

First, we'll find the number of students like to study English and Math.

Number of students like English :

$\sf \dashrightarrow \dfrac{1}{5} \: of \: 50$

$\sf \dashrightarrow \dfrac{1}{5} \times 50$

$\sf \dashrightarrow \dfrac{1 \times 50}{5} = \dfrac{50}{5}$

$\sf \dashrightarrow \cancel \dfrac{50}{5} = 10$

Thus, the number of students like English are 10.

Number of students like Math :

$\sf \dashrightarrow \dfrac{2}{5} \: of \: 50$

$\sf \dashrightarrow \dfrac{2}{5} \times 50$

$\sf \dashrightarrow \dfrac{2 \times 50}{5} = \dfrac{100}{5}$

$\sf \dashrightarrow \cancel \dfrac{100}{5} = 20$

Thus, the number of students like Maths are 20.

We know that, the remaining number of students like science. So,

Number of students like science :

$\sf \dashrightarrow 50 - (10 + 20)$

$\sf \dashrightarrow 50 - 30$

$\sf \dashrightarrow 20 \: students$

Thus, the number of students like Science are 20.

Now, we can find the fraction of students like science.

Fraction of students like science :

$\sf \dashrightarrow \dfrac{20}{50}$

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

Thus, the fraction of students like Science are 2/5.