Question

Savita has RS.27 in the form of 50 paise and 25paise coins. she has twice as many 25paise coins as she has 50paise coins. how many coins of each kind does she have?

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{number}\mathrm{of}50\mathrm{paise}\mathrm{coins}=\mathrm{x} \\ \mathrm{Then}\mathrm{the}\mathrm{number}\mathrm{of}25\mathrm{paise}\mathrm{coins}=2\mathrm{x} \\ \mathrm{Total}\mathrm{value}\mathrm{of}50\mathrm{paise}\mathrm{coins}=\mathrm{Rs}0.50\mathrm{x} \\ \mathrm{Total}\mathrm{value}\mathrm{of}25\mathrm{paise}\mathrm{coins}=\mathrm{Rs}\left(0.25\times 2\mathrm{x}\right)=\mathrm{Rs}0.50\mathrm{x} \\ \mathrm{Now},\mathrm{according}\mathrm{to}\mathrm{question}: \\ 0.50\mathrm{x}+0.50\mathrm{x}=27 \\ \Rightarrow \mathrm{x}=27 \\ \mathrm{So},\mathrm{number}\mathrm{of}50\mathrm{paise}\mathrm{coins}=27 \\ \mathrm{number}\mathrm{of}25\mathrm{paise}\mathrm{coins}=2\times 27=54 \end{gathered}$$