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Question Number 186675 by pascal889 last updated on 08/Feb/23

Answered by ARUNG_Brandon_MBU last updated on 08/Feb/23

$$\ast \mathrm{The}\mathrm{ratio}\mathrm{of}\mathrm{girls}\mathrm{to}\mathrm{boys}\mathrm{is}5:6$$$$\Rightarrow \frac{G}{B}=\frac{5}{6}\Rightarrow G=\frac{5}{6}B...\mathrm{eqn}\left(i\right)$$$$\ast \mathrm{On}\mathrm{a}\mathrm{rainy}\mathrm{day}:$$$$\frac{1}{6}G\mathrm{were}\mathrm{absent}\Rightarrow \frac{5}{6}G\mathrm{were}\mathrm{present}.$$$$\frac{1}{4}B\mathrm{were}\mathrm{absent}\Rightarrow \frac{3}{4}B\mathrm{were}\mathrm{present}.$$$$\ast \mathrm{The}\mathrm{number}\mathrm{of}\mathrm{pupil}\mathrm{present}\mathrm{that}\mathrm{day}\mathrm{was}390$$$$\Rightarrow \frac{5}{6}G+\frac{3}{4}B=390...\mathrm{eqn}\left(ii\right)$$$$\mathrm{Substituting}\mathrm{eqn}\left(i\right)\mathrm{in}\mathrm{eqn}\left(ii\right)$$$$\Rightarrow \frac{5}{6}\times \frac{5}{6}B+\frac{3}{4}B=390\Rightarrow \frac{13}{9}B=390$$$$\Rightarrow B=270\mathrm{and}G=\frac{5}{6}\times 270=225$$$$270\mathrm{pupil}\mathrm{out}\mathrm{of}495\mathrm{are}\mathrm{boys}//$$

Answered by Rasheed.Sindhi last updated on 08/Feb/23

$$\overline{)\begin{array}{cccc}& G& B& Total\\ & 5x& 6x& 11x\\ \underset{therainyday}{Absentson}& 5x/6& 6x/4& 7x/3\\ \underset{therainyday}{Presentson}& & & \frac{26x}{3}\end{array}}$$$$\frac{26x}{3}=390\Rightarrow x=\frac{390\times 3}{26}=45$$$$Boys:6x=6\times 45=270$$$$$$

Commented by Ar Brandon last updated on 08/Feb/23

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Commented by Rasheed.Sindhi last updated on 08/Feb/23

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