6) Samantha likes to bake. She knows that her cookie recipe calls for 3 cups of sugar, 2 eggs, and 4 teaspoons of butter. How much sugar will she need if she uses 22 teaspoons of butter?

To solve this sweet dilemma, we start with the ratio of butter to sugar in Samantha's original recipe. With 4 teaspoons of butter requiring 3 cups of sugar, we can set up a simple proportion to find out how much sugar she’ll need for 22 teaspoons of butter. Using the ratio (4 teaspoons butter / 3 cups sugar), we can cross-multiply and find that 22 teaspoons of butter will require approximately 16.5 cups of sugar. That’s enough to make a whole bakery's worth of cookies! If Samantha's kitchen gets too sugary, she might want to remember that too much sugar can lead to an overly sweet cookie that might lose the delicious balance of flavors. It might also lead to some sticky cleanup after the baking adventure! Always keep an eye on the ratios to maintain deliciousness.