Question 72656
p = pineapple juice
j = orange juice
s = soda
x = punch
{{{2p + 4j + 6s = 12x}}}
{{{x = (2p + 4j + 6s) / 12}}}
{{{12x - 2x = 10x}}} This is the amount of punch left after
2 cups are removed
{{{(10/12)*(2p + 4j + 6s) + 1*j + 1*s}}}  This is The punch with 2 cups 
removed , 1 cup of oj,  and 1 cup of soda added
{{{(5/3)p + (10/3)j + (15/3)s + (3/3)j + (3/3)s }}}
{{{(5/3)p + (13/3)j + (18/3)s }}}
{{{(13/3) / ((5/3) + (13/3) + (18/3))}}}
{{{13 / (5 + 13 + 18)}}}
{{{13/36}}} answer- the ratio of oj to punch you end up with