The ratio of the number of girls to the number of boys in a school of 720 students is 3:5.If 18 new boys are admitted in the school,find how many girls may be admitted so that the ratio of the number of girls to the number of boys may change to 2:3.

Answers (1)

The ratio of number of girls to the number of boys is 3:5
Sum of the terms of the ratio=3+5=8
	herefore The number of girls in the school=frac38	imes720=270 and,
     The number of boys in the school=frac58	imes720=450

Let the number of new girls admitted be x,then the number of girls become (270+x).
After admitting 18 new boys,the number of boys become 450+18 i.e., 468
According to the given,
frac270+x468=frac23
Rightarrow 3(270+x)=2	imes468
Rightarrow 810+3x=936
Rightarrow 3x=936-810
Rightarrow 3x=126
Rightarrow x=frac1263=42
Hence the number of new girls admitted is 42

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