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Question

There are 36 members in a student council in a school and the ratio of the number of boys to the number of girls is 3 : 1. How many more girls should be added to the council so that the ratio of number of boys to the number of girls may be 9 :5 ?


Solution

Total numbers of boys in student council  = 33+1×36
 =  34×36 
 =  27 boys

And

Total numbers of girls in student council  = 13+1×36 
=  14×36  
=  9 Girls 

Let x girls be added  to get the required ratio ( 9 : 5 ) ,
Than we have
279+x=95
By invertendo we have 
9+x27=59
9+x3=51
or 9+x=3×5
or 9+x=15

or x= 15-9

x=6

So,

6 girls need to be added  to get our ratio as  9 : 5.                          

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