ArtVandaleyThat move only works when "those" is modified in a different way. For instance, you contrasted students
studying arts with those
studying science. In B, by contrast, we have the phrase "those mothers," which creates an explicit reference to the same group of mothers from the first half of the sentence.
Note also that the first part doesn't make sense. We can't say "there were about one-third of mothers with young children who worked outside the home." First, it doesn't mean anything to say "There were one-third" (even if we ignore the plural verb). There are always THREE thirds of any group, so saying that one third simply existed doesn't have any useful meaning. We then modify "mothers with young children" with "who worked outside the home." It doesn't clearly modify "one-third," but rather "mothers with young children." We might let the modifier jump over "children" to "mothers," but not all the way to "one-third." Compare to these examples:
WRONG: There are one-third of Americans who support the president.
RIGHT: One third of Americans support the president.
WRONG: There were half of professors of education in the United States without doctorates.
RIGHT: Half of the professors of education in the United States did not have doctorates.