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Question Number 68336 by pete last updated on 09/Sep/19

$$\mathrm{A}\mathrm{man}\mathrm{gave}\mathrm{\$}5,720.00\mathrm{to}\mathrm{be}\mathrm{shared}\mathrm{among}$$$$\mathrm{his}\mathrm{son}\mathrm{and}\mathrm{three}\mathrm{daughters}.\mathrm{If}\mathrm{each}\mathrm{of}$$$$\mathrm{the}{\mathrm{daughter}}^{\prime }\mathrm{s}\mathrm{share}\mathrm{is}\frac{3}{4}\mathrm{of}\mathrm{the}{\mathrm{son}}^{\prime }\mathrm{s}\mathrm{share},$$$$\mathrm{how}\mathrm{much}\mathrm{did}\mathrm{the}\mathrm{son}\mathrm{receive}?$$

Commented by Rasheed.Sindhi last updated on 09/Sep/19

$$\left(\begin{array}{ccc}\mathrm{son}& :& 3\mathrm{daughters}\\ 1& :& \frac{3}{4}\times 3=\frac{9}{4}\\ 4& :& 9\end{array}\right)$$$$\mathrm{Total}\mathrm{parts}4+9=13$$$$\mathrm{Per}\mathrm{each}\mathrm{part}\mathrm{\$}5720\mathbf{÷}13=\mathrm{\$}440$$$$\mathrm{The}\mathrm{son}\mathrm{receives}\mathrm{\$}440\times 4=\mathrm{\$}1760$$

Answered by Rasheed.Sindhi last updated on 09/Sep/19

$$\mathrm{If}1/4\mathrm{is}\mathrm{one}\mathrm{part}:$$$$\mathrm{Then}\mathrm{daughter}\mathrm{receives}3\mathrm{parts}\mathrm{and}$$$$\mathrm{the}\mathrm{son}4\mathrm{parts}.$$$$\mathrm{parts}\mathrm{received}\mathrm{by}\mathrm{three}\mathrm{daughters}=3\times 3=9$$$$\mathrm{The}\mathrm{only}\mathrm{son}\mathrm{gets}4\mathrm{parts}.$$$$\mathrm{Total}13\mathrm{parts}$$$$\mathrm{\$}5720\mathbf{÷}13=\mathrm{\$}440\mathrm{per}\mathrm{each}\mathrm{part}.$$$$\mathrm{son}\mathrm{rdceives}440\times 4=\mathrm{\$}1760.00$$

Commented by pete last updated on 10/Sep/19

$$\mathrm{Thanks}\mathrm{very}\mathrm{much}\mathrm{Mr}.\mathrm{Rasheed}$$

Commented by Rasheed.Sindhi last updated on 10/Sep/19

$${\mathrm{You}}^{\prime }\mathrm{re}\mathrm{welcome}\mathrm{Mr}.\mathrm{Pete}!$$

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