here's a guess, haven't done this stuff in a long time
dalton's law
P=EPi, where Pi is equal toP=mi all in the gas phase
there Pa=760*.15 Pb =760*.85 Pa=114 Pb=646
raoult's law combined with dalton's
P=E(Pv*X)=EPi=> Pva*Xa=Pva*.9=Pa= 760*.15 => Pva=126.6 Pvb=6460
which if you think about seems right. B is a very small fraction of the liquid, yet it becomes a very large fraction of the gas, since the total pressure will be a function of the liquid fraction, then it must have a very large vapor pressure.