Hear me through here for a second - In A we have a ratio of 1 to 3 or 25% alchohol. We take 8 ounces of it, meaning 2 ounces of alcohol and put it in B. B was 1 to 9 or 10% alcohol so it's original 40 contained 4 ounces of alcohol. after the addition of A we have 48 total ounces with 4+2 = 6 ounces of alcohol. Take 16 ounces of this , which will contain 2 ounces of alchol and

add it back to A, which was 32 with 8 and now will be

10 ounes of alcohol out of 48 total ounces. So in fractional terms we're at 5/19. Is this the same as the ratio though? it seems like it would be 5 parts alcohol to 14 parts water???? Where am i screwing this up?