High School

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A recipe calls for 5 cups of sugar for every 2 tablespoons of vanilla. How many cups of sugar are needed for each teaspoon of vanilla?

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:

  1. 5 cups of sugar / 6 teaspoons of vanilla = x cups of sugar / 1 teaspoon of vanilla
  2. 5/6 cups of sugar = x cups of sugar
  3. x = 5/6 cups of sugar per teaspoon of vanilla

Therefore, you would need 5/6 cups of sugar for each teaspoon of vanilla.

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