Question

In a school fest, 50% of the students participate in sports, 10% in various cultural programmes and the rest in other activities. Find out the per cent of students that take part in other activities. Also find the exact number of students participating in each group of events if the total number of students in the school is 1650.​

Answer 1

SOLUTION -

50 % of students take part in sports and 10 % take part in cultural activities.

★ Percentage of students that participate in other activities = ( 100 - 50 - 10 ) % = 40 %

Number of students participating in sports

➜ 50 % of 1650

$➜\tt \dfrac{50}{100} \times 1650 = 825$

Number of students participating in cultural programmes

➜ 10 % of 1650

$➜\tt \dfrac{10}{100} \times 1650 = 165$

Number of students participating in other activities

➜ 40 % of 1650

$➜\tt \dfrac{40}{100} \times 1650 = 660$

Hence, 825 students participate in sports, 165 in cultural programmes and 660 in other activities

Answer 2

Answer:

Step-by-step explanation:

Given :

Total students = 36

Students participated in dance = 12

Students participated in Music = 10

To find :

Fraction of students participated in dance

Fraction of students participated in Music

Fraction of students that didn't participate

Solution :

1) What fraction of the total students have participated in dance ?

Total students = 36

Students in dance = 12

$\sf{Fraction = \dfrac{Dance \: participants}{Total \: students}}</p><p>$

$\begin{gathered}\sf{\longrightarrow} \: \dfrac{12}{36} \\ \\ \sf{\longrightarrow} \: \gray{Reduce \: it }\: \\ \\ \sf{\longrightarrow} \: \dfrac{1}{3}\end{gathered} </p><p>$

Fraction of the students have participated in dance

$\sf{\dfrac{1}{3}}$

$</p><p> </p><p></p><p>\rule{300}{1.5}</p><p></p><p>$

2) What fraction of the total students have participated in music ?

Total students = 36

Students in dance = 10

$\sf{Fraction = \dfrac{Music\: participants}{Total \: students}}</p><p>$

$\pink{\begin{gathered}\sf{\longrightarrow} \: \dfrac{10}{36} \\ \\ \sf{\longrightarrow} \: \gray{Reduce \: it }\: \\ \\ \sf{\longrightarrow} \: \dfrac{5}{18}\end{gathered} </p><p>}$

Fraction of the students have participated in music

$\red{\sf{\dfrac{5}{18}} }</p><p>$

$\rule{300}{1.5}</p><p>$

3) How many students have not participated at all. What is their fraction?

Total students = 36

Students that didn't participate =

⇒ 36 - (12 + 10)

⇒ 36 - 22

⇒ 14

$\sf{Fraction = \dfrac{Non \: participants}{Total \: students}}$

$</p><p>\begin{gathered}\sf{\longrightarrow} \: \dfrac{14}{36} \\ \\ \sf{\longrightarrow} \: \gray{Reduce \: it }\: \\ \\ \sf{\longrightarrow} \: \dfrac{7}{18} \:\end{gathered} </p><p></p><p> </p><p>$

Fraction of the non participants is

$\sf{\dfrac{7}{18}}$