A liquid solution of methanol and ethanol is in equilibrium with its vapor in a closed system. The system is at $40\mathrm{.}1$ deg C and the vapor mixture has a total pressure of $20\mathrm{.}3$ kPa. The methanol and ethanol form an ideal solution in equilibrium with an ideal gas mixture.

a$)$ What is the composition of the liquid solution, in mole $\%?$

b$)$ What is the composition of the vapor, in mole $\%?$