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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
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B
68
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C
116
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D
48
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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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