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Wieviel Prozent seines Geldes hat er gespart und wieviel hatte er anfangs?

Hallo Gast!

$x=\dfrac{x}{8}+\dfrac{2}{7}\cdot \dfrac{7x}{8}+\dfrac{2}{5}(x-\dfrac{x}{8}+\dfrac{2}{7}\cdot \dfrac{7x}{8})+$\ 45$

$x=\dfrac{x}{8}+\dfrac{x}{4 }+\dfrac{2}{5}(x-\dfrac{x}{8}+\dfrac{x}{4}) +$\ 45\\ x=\dfrac{x}{8}+\dfrac{x}{4 }+\dfrac{2x}{5}-\dfrac{x}{20}+\dfrac{x}{10}+$\ 45$

$\dfrac{40x-5x-10x-16x+2x-4x}{40}=$\ 45\\ 7x=$\ 1800$

$x=$\ 257,14$

$y=\dfrac{2}{5}(x-\dfrac{x}{8}+\dfrac{x}{4})\\ y=\dfrac{2}{5}($\ 257,142857-\dfrac{$\ 257,142857}{8}+\dfrac{$\ 257,142857}{4})\\ $

$y=$\ 115,71$

$257,142857:115,714285=100\%:x\\ x=\dfrac{11571,4285\%}{257,142857}$

$x=45\%$

Herr Wood sparte 45% seines Anfangskapitals von $ 257,14.

  !