Question

In a class,if 50% of boys were girls,then there would be 50% more girls than boys.what percentage is overall class is girls

Answer 1

Answer:

20 %

Step-by-step explanation:

Let say Percentage of Girls in Class = G  %

Percentage of Boys in class = 100 - G  %

if 50% of boys were girls

50 % of boys = (50/100) (100 - G)  = 50 - G/2  %

Remaining Boys = 100 - G - (50 - G/2) =  50 - G/2  %

Girls = G + 50 - G/2  =  50 + G/2 %

Now girls are 50% more than boys

=> Boys  + (50/100)Boys = Girls

=> Boys + Boys/2  = Girls

=> 3Boys/2 = Girls

=> 3 (50 - G/2) /2 = 50 + G/2

=> 150 - 3G/2 = 100 + G

=> 50 = 5G/2

=> 100 = 5G

=> G = 20 %

20 % girls are in class