Question

Jide spent $273 on a bag. He then spent 1/7 of his remaining money on a shirt. If he still had 3/5 of his money left, how much did he have at first?

Answer 1

Dear student

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{original}\mathrm{amount}\mathrm{be}\&\mathrm{x} \\ \mathrm{Spent}\mathrm{on}bag=\&273 \\ \mathrm{Remaining}\mathrm{money}=\&(\mathrm{x}-273) \\ \mathrm{Also}\mathrm{money}\mathrm{spent}\mathrm{on}shirt=\&\frac{1}{7}\times \left(\mathrm{x}-273\right) \\ \mathrm{Money}\mathrm{left}\mathrm{with}him=\&\frac{3}{5}\mathrm{x} \\ \mathrm{Money}\mathrm{he}\mathrm{have}\mathrm{at}\mathrm{first},\mathrm{x}=273+\frac{1}{7}\times \left(\mathrm{x}-273\right)+\frac{3}{5}\mathrm{x} \\ \Rightarrow \mathrm{x}=273+\frac{1}{7}\mathrm{x}-39+\frac{3}{5}\mathrm{x} \\ \Rightarrow \mathrm{x}-\frac{1}{7}\mathrm{x}-\frac{3}{5}\mathrm{x}=234 \\ \Rightarrow \frac{9}{35}\mathrm{x}=234 \\ \Rightarrow \mathrm{x}=\&910 \end{gathered}$$

Hence he have $ 910 at first.

Regards