# Gold inheritance

The king divided the inheritance with his three sons in the ratio of 7: 6: 4. Two of them received 286,000 gold. How much each of the sons got.

Result

a =  154000
b =  132000
c =  88000

#### Solution:

$k_{ 1 } = \dfrac{ 7 }{ 7+6+4 } = \dfrac{ 7 }{ 17 } \doteq 0.4118 \ \\ k_{ 2 } = \dfrac{ 6 }{ 7+6+4 } = \dfrac{ 6 }{ 17 } \doteq 0.3529 \ \\ k_{ 3 } = \dfrac{ 4 }{ 7+6+4 } = \dfrac{ 4 }{ 17 } \doteq 0.2353 \ \\ \ \\ t = 286000 \ \\ \ \\ z = t/(k_{ 1 }+k_{ 2 }) = 286000/(0.4118+0.3529) = 374000 \ \\ a = z \cdot \ k_{ 1 } = 374000 \cdot \ 0.4118 \doteq 154000 = 154000$
$b = z \cdot \ k_{ 2 } = 374000 \cdot \ 0.3529 \doteq 132000 = 132000$
$c = z \cdot \ k_{ 3 } = 374000 \cdot \ 0.2353 = 88000$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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Need help calculate sum, simplify or multiply fractions? Try our fraction calculator. Most natural application of trigonometry and trigonometric functions is a calculation of the triangles. Common and less common calculations of different types of triangles offers our triangle calculator. Word trigonometry comes from Greek and literally means triangle calculation.

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