Given the word problem, we can deduce the following information:
1. We need to use 5 drops of food coloring for every 9 ounces of icing.
To determine the amount of food coloring we need using 54 ounces of icing, we use ratio. We use the formula shown below:
Drops of food coloring/54 ounces of icing = 5 drops of food coloring/ 9 ounces
of icing
We simplify:
[tex]\begin{gathered} \frac{\text{Drops of food coloring}}{54\text{ ounces}}=\frac{5\text{ drops}}{9\text{ ounces}} \\ \text{Drops of food coloring}=54(\frac{5}{9}) \\ \text{Calculate} \\ \text{Drops of food coloring}=30 \end{gathered}[/tex]Therefore, we need 30 drops of food coloring if we are using 54 ounces of icing.