Answer:
7:11.
Explanation:
Number of students eating lunch = 660
Number of students purchasing lunch = 420
The ratio of the number of students purchasing lunch to the total number of students eating lunch will be:
[tex]420\colon660[/tex]We reduce it to its simplest form.
[tex]\begin{gathered} \frac{420}{10}\colon\frac{660}{10} \\ 42\colon66 \\ \frac{42}{6}\colon\frac{66}{6} \\ 7\colon11 \end{gathered}[/tex]The ratio in simplest form is 7:11.