Question

in a class 30 % of the boys play football,40% of the remaining play cricket and the remaining 21 boys play different games.How many boys are there in the class?

Answer 1

i hope this answer is correct because i am not sure

Answer 2

Answer:

Total number of boys in the class are 70 .

Step-by-step explanation:

Formula

$Percentage = \frac{Part\ value\times 100}{Total\ value}$

As given

In a class 30 % of the boys play football,40% of the remaining play cricket and the remaining 21 boys play different games.

As the percentage is always be 100 % .

Thus

Percentage of boys playing differents games = (100 - Percentage of boys play football - Percentage of boys plays cricket)%

                                                                           = (100 - 30 - 40)%

                                                                           = (100-70)%

                                                                           = 30 %

Thus Percentage of boys playing differents games = 30 %

Percentage = 30 %

Part value = 21

$30 = \frac{21\times 100}{Total\ value}$

$Total\ value =\frac{2100}{30}$

$Total\ value =70$

Therefore the total number of boys in the class are 70 .