Question 168604
I believe it's impossible to get a stronger concentration mixture
from 2 weaker concentrations
To prove that, I'll go ahead and try to solve it
Let {{{x}}}= the liters of 26% solution she needs
{{{(.26x + .32*5) / (x + 5) = .5}}}
Multiply both sides by {{{x + 5}}}
{{{.26x + 1.6 = .5*(x + 5)}}}
{{{.26x + 1.6 = .5x + 2.5}}}
{{{.24x = - .9}}}
{{{x = -3.75}}}
Clearly, the answer is impossible
check:
{{{(.26x + .32*5) / (x + 5) = .5}}}
{{{(.26*(-3.75) + .32*5) / (-3.75 + 5) = .5}}}
{{{(- .975 + 1.6) / 1.25 = .5}}}
{{{.625 / 1.25 = .5}}}
{{{.5 = .5}}}
OK