Question

A certain recipe for frosting calls for 4 teaspoons of orange food dye and 1 teaspoon of yellow food dye and makes 10 servings. Austin wants to make enough for 30
servings. How many teaspoons of orange food dye does he need?

Answer 1

The recipe calls for 4 teaspoons of orange food dye to make 10 servings. To find out how much orange food dye is needed for 30 servings, we can set up a proportion.

First, we find out how many times 30 servings is in relation to 10 servings:

\[
\frac{30}{10} = 3
\]

This means Austin needs to triple the amounts of all ingredients.

Next, we multiply the amount of orange food dye by 3:

\[
4 \text{ teaspoons} \times 3 = 12 \text{ teaspoons}
\]

Therefore, Austin needs **12 teaspoons of orange food dye** to make enough frosting for 30 servings.