Suppose we have a population containing $x$ number of individuals. Out of these individuals we know a number $x_{men}$ are men and $x_{women}$ are women. We also know that there are $x_{veg}$ vegetarians and $x_{non-veg}$. We also assume the following:
$$x_{men} + x_{women} = x$$ $$x_{veg} + x_{non-veg} = x$$
Can we deduce how many vegetarian men there are? If not can we at least make an estimate?