Question

IN A CLASS OF 42 STUDENTS,WHICH OF THE FOLLOWING COULD BE THE RATIO OF THE NO OF BOYS AND NO OF GIRLS? 1)3:2 2)3:1 3)5:4 4)4:3​

Answer 1

Answer:

x(4+5)=54

x(9)=54

x=54/9

x=6

So there are 6 groups of 4 girls and 5 boys

6 times 4 is 24.

The number of girls in the class is 24.

Unless the class contains hermaphrodites, asexuals, or adults, in which case there are people in the class who are neither boys nor girls. Without further information, we cannot tell how many.

But we do know that the number of (girls plus boys) will be evenly divisible by nine, since we know the ratio of girls to boys is 4:5, not 3.9:5 or anything like that.

So there would have to be either no people who are neither boy nor girl, or nine, or eighteen, or twenty seven, or thirty six, or forty five. We cannot have fifty four people who are neither, as then there would be no ratio at all of girls to boys.

This means there could be

45/9=5 and 5*4=20 girls (and 9 people who are neither boy nor girl)

or

36/9=4 and 4*4=16 (18 neither)

or

27/9=3 and 3*4=12 girls (27 neither)

or

18/9=2 and 2*4= 8 girls (36 neither)

or

9/9=1 and 1*4= 4 girls (45 neither)

so the final answer is: a maximum of 24 girls, but possibly any number of girls from the set {4,8,12,16,20,24}, unknowable unless given further details.

Step-by-step explanation:

Answer 2

I appreciate the person who has answered before me:D