Who's Afraid of Virginia Woolf?

In A Room of One's Own, Virginia Woolf goes to great pains to contrast the state of women and men. The beautiful, austere campuses, the good meals, and the cigars and comfy couches that fill colleges for men, are a stark contrast to the simple meal, apartments, and structure of the only college for women of the time. Woolf identifies the problem in the character of Mrs. Seton, who instead of making a fortune to endow a university for girls, had thirteen children. However, the problem isn't entirely or only Mrs. Seton, the problem is the larger societal norm of institutional sexism and a surrender to it. Woolf's solution seems simple enough: "If only Mrs Seton and her mother and her mother before her had learnt the great art of making money and had left their money, like their fathers and their grandfathers before them, to found fellowships and lectureships and prizes and scholarships appropriated to the use of their own sex, we might have dined very tolerably up here alone off a bird and a bottle of wine; we might have looked forward without undue confidence to a pleasant and honourable lifetime spent in the shelter of one of the liberally endowed professions." That is to say, women should get out and make something of themselves instead of just being wives and mothers.
Even Woolf admits it's not really that simple. Until only a few dozen years before her attendance at Fernham, women didn't even have the right to their own money. Had Mrs. Seton or her ancestors tried to make a buck to better their co-genderists, that money would only have been used at the discretion of their husbands, who probably would have seen more fit to spend it on a man's education. It seems, though, that the problem is the solution in and of itself. Yes, Fernham may not share the same amenities as the boy's schools, but it is training a class of women who can be what Woolf envisions Mrs. Seton could have been (to an extent, Woolf does mention that women only have"illusions" of education). From the ashes will rise the pheonix, and one day, perhaps, a wealthy woman magnate will endow schools like Fernham so that they may be as comfortable as their 'brother schools.'
De Beauvoir notes the problem as something else, but similar. The "myth of woman" builds the basis for the same sexism Woolf decries. Thus, because of the "burdens that physiologically are women's lot," they're relegated to a second class status.
In terms of literature, the idea of gender hegemony seems to exist. De Beauvoir's "myth of woman" is communicated globally through a literary medium. It seems as though the only way to break that image in both literature and reality is through education and upward mobility, as in the case of Woolf's fantasy Mrs. Seton.