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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