One full glass

contains vinegar and water in the ratio of 1:3. Another full goass of twice the capacity of the first vinegar and water in the ratio 1:4. If the contents of both glasses were mixed together, what then is the ratio of vinegar to water?

One full glass contains vinegar and water in the ratio of 1:3.

Another full glass of twice the capacity of the first vinegar and water in the ratio 1:4.

If the contents of both glasses were mixed together, what then is the ratio of vinegar to water?

1 glass capacity = X

vinegar 1/4 = 0.25X

water 3/4 = 0.75 x

2 glass capacity = 2X

vinegar 1/5 = 0.2 (2X) = 0.4X

water 4/5 = 0.8 (2X) = 1.6X

both glasses capacity = X + 2X = 3X

vinegar 0.25X + 0.4X = 0.65X

water 0.75X + 1.6X = 2.35X

vinegar/water ratio = 0.65/2.35

check 0.65X + 2.35X = 3X