Question 301601
There are  8 liters of a mixture of 30% sprite and 70% lime juice
The liters of sprite is:
{{{.3*8 = 2.4}}}
The liters of lime juice is:
{{{.7*8 = 5.6}}}
Call the liters of sprite added to this to get 40% sprite {{{x}}}
{{{(2.4 + x)/(8 + x) = .4}}}
{{{2.4 + x = .4*(8 + x)}}}
{{{2.4 + x = 3.2 + .4x}}}
{{{.6x = .8}}}
{{{x = 4/3}}} liters
4/3 liters of sprite must be added
check:
The % of lime juice is:
{{{5.6/(8 + 4/3) = .6}}}
{{{5.6 = .6*(28/3)}}}
{{{5.6*3 = .6*28}}}
{{{16.8 = 16.8}}}
OK