From my own research, I have seen people say that the first conditional cannot be mixed with the second, or the zero with the second. I have some example sentences, however, which I took from an essay about the pros and cons of having a small family. This was written by a native English speaker:
If a parent wants their children to have a university education, tuition fees would have to be paid for each child in order to be fair.
If a person has a larger family, by contrast, then more members would be able to work and generate more money.
Are these sentences grammatically correct? What is the meaning of using the present tense in the first clause, and would in the second?