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.

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Solution

## Dear student, Here is the solution of your asked query: $\mathrm{Suppose}\mathrm{John}\text{'}\mathrm{s}\mathrm{share}\mathrm{is}\mathrm{x}.\phantom{\rule{0ex}{0ex}}\mathrm{Then},\mathrm{Ahmed}\text{'}\mathrm{s}\mathrm{share}=3\mathrm{times}\mathrm{John}\text{'}\mathrm{s}\mathrm{share}=3\mathrm{x}\phantom{\rule{0ex}{0ex}}\mathrm{Since}\mathrm{Ahmed}\text{'}\mathrm{s}\mathrm{share}\mathrm{is}5\mathrm{times}\mathrm{Babita}\text{'}\mathrm{s}\mathrm{share}.\mathrm{Then},\mathrm{Babita}\text{'}\mathrm{s}\mathrm{share}=\frac{3\mathrm{x}}{5}\phantom{\rule{0ex}{0ex}}\mathrm{and}\mathrm{total}\mathrm{shares}\mathrm{to}\mathrm{be}\mathrm{divided}=1380\phantom{\rule{0ex}{0ex}}⇒\mathrm{x}+3\mathrm{x}+\frac{3\mathrm{x}}{5}=1380\phantom{\rule{0ex}{0ex}}⇒\frac{23\mathrm{x}}{5}=1380\phantom{\rule{0ex}{0ex}}⇒\mathrm{x}=\frac{1380×5}{23}=300\phantom{\rule{0ex}{0ex}}\mathrm{Therefore},\mathrm{John}\text{'}\mathrm{s}\mathrm{share}\mathrm{is}300;\mathrm{Ahmed}\text{'}\mathrm{s}\mathrm{share}\mathrm{is}3×300\mathrm{i}.\mathrm{e}.900\mathrm{and}\mathrm{Babita}\text{'}\mathrm{s}\mathrm{share}\mathrm{is}\frac{3}{5}×300=180$ Regards

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