Answer
A total of $138$ students who do NOT buy lunch at school.
Work Step by Step
$$\text{Using The Result of Survey in the Two Way Table}$$
$\text{Given Information:}$
Number of Freshmen that do NOT buy Lunch $=86$
Number of Sophomores that do NOT buy Lunch $=52$
$\text{To Find:}$
Number of Students who do NOT buy lunch at school?
$$\text{Solution}$$
$\rightarrow \text{Total Number of Students who do NOT Buy Lunch at School}=$
$\text{No. of Freshmen do NOT buy lunch}+\text{No. of Sophomores do NOT buys lunch}$
So,
$\rightarrow \text{Total No. of Students that do NOT Buy Lunch }= 86+52=138$
$\text{Result:}$
Hence, a total of $138$ students who do NOT buy lunch at school.