Question Number 165639 by mathls last updated on 05/Feb/22
Commented by mathls last updated on 05/Feb/22
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Answered by aleks041103 last updated on 05/Feb/22
$${b}=#\:{of}\:{boys} \\ $$$${g}=#\:{of}\:{girls} \\ $$$${given}: \\ $$$${b}=\frac{\mathrm{3}}{\mathrm{7}}\:{of}\:{all} \\ $$$${b}=\frac{\mathrm{3}}{\mathrm{7}}\left({g}+{b}\right) \\ $$$$\frac{\mathrm{4}}{\mathrm{7}}{b}=\frac{\mathrm{3}}{\mathrm{7}}{g}\Rightarrow{b}=\frac{\mathrm{3}}{\mathrm{4}}{g} \\ $$$$\Rightarrow{all}={b}+{g}=\frac{\mathrm{7}}{\mathrm{4}}{g} \\ $$$$\Rightarrow{all}=\frac{\mathrm{7}}{\mathrm{4}}\mathrm{132}=\mathrm{231}={all} \\ $$