Feminists always ask it as some sort of a "gotcha'' question. Who is going to be nurses and primary school teachers if all the women quit working???
Luckily here in Europe we don't have to reinvent the wheel. We just have to look back at the not-so-distant past (20th century) and what do we see?
First, the question itself (like everything about modern feminism) is very dishonest. All women don't have to quit working. It's enough if married women quit, the way it used to be in various countries, even stipulated by law. Not "mothers". Not "after the birth of 2nd child". Not "while the kids are in (primary) school." Married women, period. Because you can't serve 2 masters and the like.
And second, especially for the Catholic countries, it's a very easy answer. Nuns. That's who used to be nurses, school teachers and even doctors. Nuns used to run nursing home facilities. In Germany you still have hospitals with nuns working there. Here it used to be like this till somewhere in the 1960s, and there are TV shows from this period which depict it.
There are still people alive who remember how the society used to be. In fact, most laws protecting the traditional family in my country weren't abolished in the 1950s, but rather in the beginning of the 2000s, after the transition to the Euro. It's thanks to to the EU and we all know (or should know) who is really behind this organisation.
Nuns give an oath to serve the folk and are ideal for this type of jobs which demand real sacrifice sometimes (like night shifts in hospital or waking by the bed of a dying person). Make Christianity and religious vocation cool again and your problem is solved:)