Determine the partial pressures of a and b over solution

Question

Liquids A which is having the molar mass 100g/mol and B which is having the molar mass 110g/mol form an ideal solution. A has a vapor pressure of 96mmHg and B a vapor pressure of 42 mmHg at 55^oC. A solution is prepared by mixing the equal weights of A and B.
1. Determine the mole fraction of each component in the solution.

2. Determine the partial pressures of A and B over the solution at 55^oC.
3. Determine the mole fraction of each component in this liquid and the vapor pressure of each component above this liquid at 55^oC.