This exercise is about vocabulary. You should spot the key word in each sentence which allows you to pick the right person, then find the corrisponding term in Italian.
For example: "Luisa loves fish". Menu B includes the word "pesce", which means "fish"; this means that Luisa will go for Menu B. Same for Sandra, who likes ice cream ("gelato" in Italian, also in Menu B). Davide, instead, will go for Menu A, because he prefers eating "carne".