In a college union, there are 48 students. The ratio of

In a college union, there are 48 students. The ratio of the number of boys to the number of girls is 5 : 3. The number of girls to be added in the union, so that the ratio of boys to girls in 6 : 5 is

In the college union,

Number of boys =	5	× 48 = 30
	8

Number of girls =	3	× 48 = 18
	8

Let the number of girls added be x.

∴	30	=	6
	18 + x		5

⇒ 108 + 6x = 150
⇒ 6x = 150 – 108 = 42

⇒ x =	42	= 7
	6