Question

​​a bag contains rs 1 coins and rs 2 coins whose total is rs 70. if the number of rs 1 coins is five times that of rs 2 coins, find the number of coins of each type

Answer 1

Dear Student,
Here is the solution of your asked query:
$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{number}\mathrm{of}\mathrm{Rs}.2\mathrm{coins}\mathrm{be}\mathrm{x}. \\ \mathrm{Then}\mathrm{number}\mathrm{of}\mathrm{Rs}.1\mathrm{coins}=5\mathrm{x} \\ \mathrm{So}\mathrm{amount}\mathrm{of}\mathrm{Rs}.2\mathrm{coins}=2\mathrm{x} \\ \mathrm{And}\mathrm{amount}\mathrm{of}\mathrm{Rs}.1\mathrm{coins}=5\mathrm{x} \\ \mathrm{So}\mathrm{total}\mathrm{amount}=2\mathrm{x}+5\mathrm{x}=\mathrm{Rs}.70 \\ \Rightarrow 7\mathrm{x}=70 \\ \Rightarrow \mathrm{x}=\frac{70}{7}=10 \\ \mathrm{So}\mathrm{number}\mathrm{of}\mathrm{Rs}.2\mathrm{coins}=10 \\ \mathrm{And}\mathrm{number}\mathrm{of}\mathrm{Rs}.1\mathrm{coin}=5\times 10=50 \end{gathered}$$
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