A Solution Is Made by Mixing 138

A solution is made by mixing 138.2 grams of ethanol, C₂H₆O, (46.069 g mol^-1) ; 103.6 grams of water (18.015 g mol^-1) , and 80.11 grams of methanol, CH₄O, (32.042 g mol^-1) . What is the mole fraction of methanol in the mixture?

A) 0.02504
B) 0.2222
C) 0.2493
D) 0.3333
E) 0.4490