Question

Amar divided his collection of stamps in the ratio 6:5 between his two sisters Sheila and Amina. If Sheila received 23 stamps more than Amina, how many stamps didhe distribute?

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{number}\mathrm{of}\mathrm{stamps}\mathrm{received}\mathrm{by}\mathrm{Amina}=x \\ \mathrm{Then}\mathrm{number}\mathrm{of}\mathrm{stamps}\mathrm{received}\mathrm{by}\mathrm{Sheila}=x+23 \\ \mathrm{Now},\mathrm{according}\mathrm{to}\mathrm{question}, \\ \frac{x+23}{x}=\frac{6}{5} \\ \Rightarrow 6x=5x+115 \\ \Rightarrow 6x-5x=115 \\ \Rightarrow x=115 \\ \mathrm{So},\mathrm{no}.\mathrm{of}\mathrm{stamps}\mathrm{received}\mathrm{by}\mathrm{Amina}=115 \\ \mathrm{no}.\mathrm{of}\mathrm{stamps}\mathrm{received}\mathrm{by}\mathrm{Sheila}=115+23=138 \\ \mathrm{So},\mathrm{total}\mathrm{number}\mathrm{of}\mathrm{stamps}\mathrm{distributed}\mathrm{by}\mathrm{Amar}=115+138=253 \end{gathered}$$