Answer :
Final answer:
To find out how many cups of sugar are needed for each teaspoon of vanilla, the given ratio of 5 cups of sugar to 2 tablespoons of vanilla is converted to teaspoons. Since 1 tablespoon equals 3 teaspoons, 2 tablespoons are 6 teaspoons. Thus, for each teaspoon of vanilla, 5/6 cups of sugar are required.
Explanation:
The student is asking how many cups of sugar are needed for each teaspoon of vanilla according to a recipe. The original recipe calls for 5 cups of sugar for every 2 tablespoons of vanilla. We need to convert tablespoons to teaspoons, knowing that 1 tablespoon equals 3 teaspoons. So, 2 tablespoons of vanilla equal 6 teaspoons.
Now, we can set up a ratio to find out how much sugar is required for 1 teaspoon of vanilla:
- 5 cups of sugar / 6 teaspoons of vanilla = x cups of sugar / 1 teaspoon of vanilla
- 5/6 cups of sugar = x cups of sugar
- x = 5/6 cups of sugar per teaspoon of vanilla
Therefore, you would need 5/6 cups of sugar for each teaspoon of vanilla.
