Given that:
- Tara has 18 pairs of white socks.
- She has 12 pairs of colored socks.
You can state the proportion of those types of socks using ratios.
By definition, a ratio can be written in this form:
[tex]a\colon b[/tex]And it is read "a to b".
In this case, you need to find the ratio of white socks to colored socks, then you have to set up this ratio:
[tex]18\colon12[/tex]You can simplify the ratio dividing both sides by 6:
[tex]\begin{gathered} 18\div6\colon12\div6 \\ \\ 3\colon2 \end{gathered}[/tex]Hence, the answer is: Option B.