Question

perdi un quinto de mi dinero y preste un octavo ¿q parte de mi dinero me quedo?

Answer 1

$Hola~~Jhonny \\ \\ Vamos~pensar~que~yo~tengo~un~total~de~100\%~de~dinero\\ \\ \underbrace{Un~quinto~de~mi~dinero(100\%)}_{ \frac{1}{5} } \\ \frac{1}{5}.100\%=20\%~~~---\ \textgreater \ quiere~decir~que: \\ \boxed{\frac{1}{5}=20\% }---\ \textgreater \ Lo~que~perdi. \\ \\ ************************************$

$\underbrace{Preste~un~octavo}_{ \frac{1}{8} }~\underbrace{de}_{X}~\underbrace{mi~dinero(100\%)}_{100\%} \\ entonces: \\ \frac{1}{8}.(100\%)=12,5\% ~~~---\ \textgreater \ quiere~decir~que: \\ \\ \boxed{\frac{1}{8}=12,5\% }---\ \textgreater \ lo~que~preste \\ \\ ************************************** \\ Primero~vamos~sumar~lo~que~perdi~mas~lo~que~preste: \\ \\ \underbrace{Dinero~que~perdi}_{20\%}~~\underbrace{mas}_{+}~~\underbrace{dinero~que~preste}_{12,5\%} \\ \\ \boxed{20\%+12,5\%=\boxed{32,5\%}}$

$************************************* \\ Ahora~para~saber~cu\acute{a}nto~me~qued\acute{o}, es~solo~restar~el~100\%~vea: \\ \\ \boxed{100\%-32,5\%=\boxed{67,5\%}~--\ \textgreater \ lo~que~me~queda} \\ \\ Ahora~pasamos~67,5\%~a~fracci\acute{o}n~vea: \\ \\ 67,5\%= \frac{67,5}{100} = \frac{675}{1000}= \boxed{\boxed{\frac{27}{40} }}--\ \textgreater \ el~dinero~que~me~qued\acute{o}$

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