Question 1045753
Yes 14 quarts.


w, quarts of white paint
g, quarts of green paint



{{{w/g=5/2}}}, but be careful accounting for the total parts to make the 14 quarts.



The mixture according to ratio is 5 parts white plus 2 parts green making 5+2=7 parts PAINT MIXTURE.
The FRACTION as white is  {{{5/7}}}.
The FRACTION as green is {{{2/7}}}.



Look at accounting for the 14 quarts of mixture.
{{{w+g=14}}}.



What equations do you now have so far?  The EQUATIONS!
{{{system(w/g=5/2,w+g=14)}}}
That's all.
One ratio equality and one volume accounting.
Two equations in only two unknown variables.
This did not actually apply the "7 parts as paint mixture" discussion.



SOLVING THE SYSTEM
-
{{{w=5g/2}}}
-
{{{(5g/2)+g=14}}}
{{{5g+2g=2*14}}}
{{{7g=28}}}
{{{g=28/7}}}
{{{highlight(g=4)}}}
-
{{{w=5g/2}}}
{{{w=5*4/2}}}
{{{highlight(w=10)}}}


Same results, but maybe easier to understand.