Question

You are making a colorful cake for a birthday party and need to use 3 drops of food coloring for every 7ounces of icing. How many drops of food coloring do you need if you are using 42 ounces of icing?

Answer 1

Answer:

18 drops of food coloring

Explanation:

The ratio of drops of food coloring and ounces of icing is constant, so we can write the following equation

$\frac{\text{drops}}{\text{ounces}}=\frac{3}{7}=\frac{x}{42}$

Where x is the number of drops that you need for 42 ounces of icing. So, solving for x, we get:

$\begin{gathered} \frac{3}{7}\cdot42=\frac{x}{42}\cdot42 \\ 18=x \end{gathered}$

Therefore, the answer is 18 drops of food coloring.