Question 696763

let {{{y}}} be the {{{50}}}% alcohol solution and {{{x}}} {{{1}}}% alcohol solution


{{{x + y = 8}}}
{{{x = 8 - y}}}

{{{.01x + .5y = 1.6}}}...substitute {{{x}}}
{{{.01(8 - y) + .5y = 1.6}}}
{{{.08 - .01y + .5y = 1.6}}}
{{{.49y = 1.52}}}
{{{y = 3.1}}}.................ounces of {{{50}}}% alcohol solution

{{{x = 8 - y}}}
{{{x = 8 - 3.1}}}
{{{x = 4.9}}}............ounces of {{{1}}}% alcohol solution