Inheritance

After death, the father (♱ 54) remained mother (his wife) and 5 children. Inheritance by law is that the first mother will automatically get half of the property and the other half inherited by heirs, the mother and her 5 children by the same share.

Calculate the resulting share of property that falls to the mother and one child and express it as a percentage.

Correct answer:

M =  58.3 %
D =  8.3 %

Step-by-step explanation:

$$\begin{gathered} d=\frac{1}{2}\cdot \frac{1}{5+1}=\frac{1}{12}\doteq 0.0833 \\ m=\frac{1}{2}+d=\frac{1}{2}+\frac{1}{12}=\frac{6}{12}+\frac{1}{12}=\frac{6+1}{12}=\frac{7}{12}\doteq 0.5833 \\ M=100\cdot m=100\cdot \frac{7}{12}=\frac{100\cdot 7}{12}=\frac{700}{12}=\frac{175}{3}\%=58.3\% \end{gathered}$$

$D=100\cdot d=100\cdot \frac{1}{12}=\frac{100\cdot 1}{12}=\frac{100}{12}=\frac{25}{3}\%=8.3\%$

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