Question 940748

Chris had {{{x}}} money

Chris spent {{{62}}} and a {{{1/2=0.5}}}% percent of her money buying shoes

{{{62}}} and a {{{1/2=0.5}}}% is equal to {{{62.5}}}%  or {{{62.5/100=0.625}}}

she spent {{{62.5}}}% of her money {{{x}}} and we can write it as {{{0.625*x}}}

if she had {{{25.95}}} euro left, then we can write an equation like this:

{{{x-0.625*x=25.95}}}....now we solve for {{{x}}} to find out how much money she had

{{{x-0.625*x=25.95}}}

{{{(1-0.625)x=25.95}}}

{{{0.375x=25.95}}}

{{{x=25.95/0.375}}}

{{{highlight(x=69.2)}}} 

so, answer is: she had {{{69.2}}} euro and spent for shoes {{{69.2-25.95=43.25}}}

euro and {{{43.25}}} euro is {{{62.5}}}% of {{{69.2}}} euro

let's check it: {{{0.625*69.2=43.25}}} which confirms our answer