"Een vrouw eet de appel."
Translation:A woman eats the apple.
The infinitive form of this verb is "eten". To make the third person singular in Dutch you drop the ending -en and add a -t. That is what happens with "drinken": -en +t = drinkt. The problem with "eten" is that eten: -en + t = *ett. But according to Dutch spelling, you won't repeat the "t" in the end, so "et". But since it is a long sound finishing with a consonant, you have to double the "e", hence "eet". Here is the thread about the present tense in Dutch: https://www.duolingo.com/comment/3762671 and the one about spelling: https://www.duolingo.com/comment/3733043