I need to know the approximate number of lunches that will be sold

First let's calculate the number of students who will buy lunch 5 times next week and it is given by:-
[tex]\begin{gathered} \frac{35}{100}\times500 \\ =35\times5 \\ =175 \end{gathered}[/tex]So 175 students will buy lunch 5 times.
Similarly let's find number of students who will buy lunch 4 times
[tex]\begin{gathered} \frac{15}{100}\times500 \\ =15\times5 \\ =75 \end{gathered}[/tex]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
[tex]\begin{gathered} 5\times175+4\times75+3\times50+2\times50+1\times90 \\ =875+300+150+100+90 \\ =1515 \end{gathered}[/tex]So total 1,515 lunches will be sold .Hence the correct option is (A).