Question

9.Divide AED 1380 among Ahmed, John and Babita so that the amount Ahmed
receives is five times as much as Babita’s share and is three times as much as
John’s share.

Answer 1

Dear student,
Here is the solution of your asked query:
$$\begin{gathered} \mathrm{Suppose}\mathrm{John}\text{'}\mathrm{s}\mathrm{share}\mathrm{is}\mathrm{x}. \\ \mathrm{Then},\mathrm{Ahmed}\text{'}\mathrm{s}\mathrm{share}=3\mathrm{times}\mathrm{John}\text{'}\mathrm{s}\mathrm{share}=3\mathrm{x} \\ \mathrm{Since}\mathrm{Ahmed}\text{'}\mathrm{s}\mathrm{share}\mathrm{is}5\mathrm{times}\mathrm{Babita}\text{'}\mathrm{s}\mathrm{share}.\mathrm{Then},\mathrm{Babita}\text{'}\mathrm{s}\mathrm{share}=\frac{3\mathrm{x}}{5} \\ \mathrm{and}\mathrm{total}\mathrm{shares}\mathrm{to}\mathrm{be}\mathrm{divided}=1380 \\ \Rightarrow \mathrm{x}+3\mathrm{x}+\frac{3\mathrm{x}}{5}=1380 \\ \Rightarrow \frac{23\mathrm{x}}{5}=1380 \\ \Rightarrow \mathrm{x}=\frac{1380\times 5}{23}=300 \\ \mathrm{Therefore},\mathrm{John}\text{'}\mathrm{s}\mathrm{share}\mathrm{is}300;\mathrm{Ahmed}\text{'}\mathrm{s}\mathrm{share}\mathrm{is}3\times 300\mathrm{i}.\mathrm{e}.900\mathrm{and}\mathrm{Babita}\text{'}\mathrm{s}\mathrm{share}\mathrm{is}\frac{3}{5}\times 300=180 \end{gathered}$$
Regards