Answer
$34.99\ mmHg$
Work Step by Step
Number of moles of ethylene glycol: $35.0\ g\div62.07\ g/mol=0.564\ mol$
Number of moles of water: $500\ g\div 18.015\ g/mol=27.754\ mol$
Mole fraction of solvent: $27.754/(27.754+0.564)=0.98$
Vapor pressure of water: $P=XP^0=0.98\times35.7\ mmHg=34.99\ mmHg$