First let's calculate the number of students who will buy lunch 5 times next week and it is given by:-
So 175 students will buy lunch 5 times.
Similarly let's find number of students who will buy lunch 4 times
75 students will buy 4 times
Similarly on calculation we get 50 students will buy 3 times, 50 students will buy 2 times , 90 students will buy 1 time.
So total number of lunches that will be sold will be
So total 1,515 lunches will be sold .Hence the correct option is (A).