A mixture containing 27% ethanol is mixed with another mixture containing 77% ethanol in the ratio x : y. If the quantity of wine in the final mixture is 53%, find the value of x : y.

Correct Answer: 12 : 13
The ratio in which the liquids are mixed = x : y. X : y = (77 – 53) : (53 – 27) = 24 : 26 = 12 : 13