Question 159209
In words:
(liters of green in 24% mixture)+(liters of green in 17% mixture) / (5 liters)=
18.5%
Let {{{x}}}= liters of 24% mixture required
Let {{{y}}}= liters of 17% mixture required
{{{(.24x + .17y) / 5 = .185}}}
Also known is:
{{{x + y = 5}}}
So, 
{{{y = 5 - x}}}
{{{(.24x + .17(5 - x)) / 5 = .185}}}
multiply both sides by {{{5}}}
{{{.24x + .17(5 - x) = .925}}}
{{{.24x + .85 - .17x = .925}}}
{{{.07x = .925 - .85}}}
{{{.07x = .075}}}
{{{x = 1.071}}}liters
{{{y = 5 - 1.071}}}
{{{y = 3.929}}}liters
I need 1.071 liters of the 24% mixture and 3.929 liters of the 17% mixture
check answers:
{{{(.24x + .17y) / 5 = .185}}}
{{{(.24*1.071 + .17*3.929) / 5 = .185}}}
{{{(.257 + .668) / 5 = .185}}}
{{{.925 / 5 = .185}}}
{{{.925 = .925}}}
OK