Question

question 3
a recipe for 4 ounces of frosting calls for 2 teaspoons of sugar. how much sugar would you need to make 12 ounces of
question 3 options:

Explanation:

Step1: Find the ratio of sugar to frosting

The ratio of sugar (in teaspoons) to frosting (in ounces) for the given recipe is $ \frac{2}{4} $ teaspoons per ounce. Simplifying this, we get $ \frac{1}{2} $ teaspoon per ounce.

Step2: Calculate sugar needed for 12 ounces

To find the amount of sugar needed for 12 ounces of frosting, we multiply the ratio by 12 ounces. So, $ \frac{1}{2} \times 12 = 6 $ teaspoons.
Alternatively, we can set up a proportion. Let $ x $ be the amount of sugar needed for 12 ounces. Then $ \frac{2}{4} = \frac{x}{12} $. Cross - multiplying gives $ 4x = 2\times12 $, so $ 4x = 24 $ and $ x=\frac{24}{4}=6 $ teaspoons.

Answer:

You would need 6 teaspoons of sugar to make 12 ounces of frosting.