# Three 43

Three brothers inherited a cash amount of 62,000 and they divided it among themselves in the ratio of 5:4:1. How much more is the largest share than the smallest share?

Result

x =  24800

#### Solution:

$p = 62000 \ \\ a = p \cdot \ \dfrac{ 5 }{ 5+4+1 } = 62000 \cdot \ \dfrac{ 5 }{ 5+4+1 } = 31000 \ \\ b = p \cdot \ \dfrac{ 4 }{ 5+4+1 } = 62000 \cdot \ \dfrac{ 4 }{ 5+4+1 } = 24800 \ \\ c = p \cdot \ \dfrac{ 1 }{ 5+4+1 } = 62000 \cdot \ \dfrac{ 1 }{ 5+4+1 } = 6200 \ \\ \ \\ x = a-c = 31000-6200 = 24800$ 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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