Question

In a class of 70 students, the ratio of the number of
boys and girls is 4: 3. Among the girls, the ratio of
the number of sports persons to non-sports persons
is 1 : 4. If the ratio of the number of sports persons
to non-sports persons in the class is 8: 27, find the
ratio of the number of sports persons to non-sports
persons among the boys in the class.
(A) 1:2 (B) 1:3 (C) 1:4 (D) 2:3​

Answer 1

Step-by-step explanation:

first find no. of girls

then find no. of sport and non sport girl

then find total no. of sport and non sport person in whole class

the subtract no. of girls from the total and the take the ratio

Answer 2

Total number of students given = 70

according to ratio,

no. of boys = 40

no. of girls = 30

among girls,

the no. of sports person = 6

and no. of non sports person = 24

Now, no of sports person in the class = 16

and no. of non sports person in the class = 54

Now, no. of sports person in boys = 16-6=10

and no. of non sports person in boys = 54-24 = 30

So, the ratio of sports person to non sports person in boys will be = 10/30 = 1:3

Thank you