Question

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

Answer 1

There are 70 boys in the class.

Step-by-step explanation:

We are given that in a class 30% of the boys play football, 40% of the remaining play cricket and the remaining 21 boys play different other games.

As we know that the total percentage is always 100%, that means;

Total percentage = Percentage of boys who play football + Percentage of boys who play cricket + Percentage of boys who play other games

100% = 30% + 40% + Percentage of boys who play other games

100% = 70% + Percentage of boys who play other games

Percentage of boys who play other games = 100% - 70% = 30%

Now, it is given that 21 boys play other games.

So, according to the question;

Number of boys who play other games = 30% of Total boys in the class

21 = 30% of Total boys in the class

Total boys in the class =  $\frac{21\times 100}{30}$

                                      =  $\frac{210}{3}$  = 70

Hence, the boys in the class are 70.