Question

In a class
Un a class, the number of girls - 3/2 of the number of boys. Fin
ratio of the number of girls to the number of boys.​

Answer 1

Step-by-step explanation:

Given,

Condition 1 :-

ratio of boys to girls =3 : 2

Let the number of boys=x.

Let the number of girls=y.

This condition can be written as xy=32 .→(1)

Condition 2 :-

and the given condition is number of boys is 6 more than the number of girls

i.e, x=6+y .

=>y=x−6 →(2)

Now submit condition (2) in condition (1).

=>xx−6=32.

Now cross multiply we get,

=>2∗x=3∗(x−6)

=>2∗x=3∗x−18

=>2∗x−3∗x=−18

=>−1∗x=−18

=>x=18.

The number of boys (x) =18.

If u want to know number of girls place ‘ x ’ in condition (1) or (2) ,we get

let us put value of ‘x’ in equation (2).

=>18=6+y

=>y=12.

The number of girls (y) = 12 .

Hope it helps………

: )