To help answer this question, we can construct a two-way table and fill in our known quantities from the question.

The columns of the table will represent the students who have a curfew or do not have a curfew and the rows will contain the students who are on honor roll  or are not on honor roll. The first bit of information that we were given from the question was that \(\displaystyle 93\) students had a curfew; therefore, \(\displaystyle 93\) needs to go in the "curfew" column as the row total. Next, we were told that of those students, \(\displaystyle 51\) were on honor roll; therefore, we need to put \(\displaystyle 51\) in the "curfew" column and in the "honor roll" row. Then, we were told that \(\displaystyle 17\) students do not have a curfew, but were on honor roll, so we need to put \(\displaystyle 17\) in the "no curfew" column and the "honor roll" row. Finally, we were told that \(\displaystyle 21\) students do not have a curfew or were on honor roll, so \(\displaystyle 21\) needs to go in the "no curfew" column and "no honor roll" row. If done correctly, you should create a table similar to the following: 

Our question asked how many students were not on honor roll. We add up the numbers in the "no honor roll" row to get the total, but first we need to fill in a gap in our table, students who have a curfew, but were not on honor roll. We can take the total number of students that have a curfew, \(\displaystyle 93\), and subtract the number of students who are on honor roll, \(\displaystyle 51\textup:\)

\(\displaystyle \frac{\begin{array}[b]{r}93\\ -\ 51\end{array}}{ \ \ \ \space 42}\)

This means that \(\displaystyle 42\) students who have a curfew, aren't on honor roll. 

Now, we add up the numbers in the "no honor roll" row to get the total:

\(\displaystyle \frac{\begin{array}[b]{r}42\\ +\ 21\end{array}}{ \ \ \ \space 63}\)

This means that \(\displaystyle 63\) students were not on honor roll. 

To help answer this question, we can construct a two-way table and fill in our known quantities from the question.

The columns of the table will represent the students who are athletes or are not athletes and the rows will contain the students who drink soda or do not drink soda. The first bit of information that we were given from the question was that \(\displaystyle 43\) students were athletes; therefore, \(\displaystyle 43\) needs to go in the "athlete" column as the row total. Next, we were told that of those students, \(\displaystyle 19\) drinks soda; therefore, we need to put \(\displaystyle 19\) in the "athlete" column and in the "drinks soda" row. Then, we were told that \(\displaystyle 33\) students were not athletes, but drink soda, so we need to put \(\displaystyle 33\) in the "not an athlete" column and the "drinks soda" row. Finally, we were told that \(\displaystyle 22\) students are not athletes or soda drinkers, so \(\displaystyle 22\) needs to go in the "not an athlete" column and "doesn't drink soda" row. If done correctly, you should create a table similar to the following: 

Our question asked how many students don't drink soda. We add up the numbers in the "doesn't drink soda" row to get the total, but first we need to fill in a gap in our table, students who were athletes, but don't drink soda. We can take the total number of students who are athletes, \(\displaystyle 43\), and subtract the number of students who drink soda, \(\displaystyle 19\textup:\)

\(\displaystyle \frac{\begin{array}[b]{r}43\\ -\ 19\end{array}}{ \ \ \ \space 24}\)

This means that \(\displaystyle 24\) students who are athletes, don't drink soda.  

Now, we add up the numbers in the "doesn't drink soda" row to get the total:

\(\displaystyle \frac{\begin{array}[b]{r}24\\ +\ 22\end{array}}{ \ \ \ \space 46}\)

This means that \(\displaystyle 46\) students don't drink soda.