The proprietor of a lemon drink stand is trying to create the perfect summer lemon drink by combining two drinks that have already been prepared. The first
lemon drink consists of a mixture of water and pure lemon juice in the ratio 2:1,
by volume. The second lemon drink, with twice the volume of the first lemon
drink, is filled with a mixture of water and pure lemon juice in the ratio 3:1, by
volume. The contents of the two drinks are combined together into a third drink.
This combination produces the perfect mix.
Determine the ratio of water to pure lemon juice, by volume, in the perfect mix.