Question

# The ratio of the number of boys to that of the girls in a school of $$432$$ students is $$5\colon4$$. How many new girls should join the school for the ratio to be $$1\colon1$$.

A
16
B
68
C
116
D
48

Solution

## The correct option is C $$\;48$$Number of boys $$=\displaystyle\frac{5}{9}\times432=240$$$$\;\;\;\;\;\;\;$$ Number of girls $$=432-240=192$$.$$\;\;\;\;\;\;\;$$ Let the number of new girls be $$x$$. Then,$$\;\;\;\;\;\;\displaystyle\frac{240}{192+x}=\displaystyle\frac{1}{1}\;\Rightarrow\,240=192+x\,\Rightarrow\,x=48$$.Mathematics

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