a recipe used 2/3 cup of sugar for every 2 teaspoons of vanilla. how much sugar was used per teaspoon of vanilla?

You can either figure this out logically -- or you can use a proportion, cross multiply, and solve for x.

(2/3)/2 = x/1

Is it 1/3

Yes. 1/3 cup

To find out how much sugar was used per teaspoon of vanilla, we can use a simple ratio calculation.

The given ratio is: 2/3 cup of sugar for every 2 teaspoons of vanilla.

To calculate the ratio of sugar to vanilla, we need to compare the amount of sugar to the amount of vanilla.

The ratio of sugar to vanilla can be written as 2/3 : 2.

To simplify the ratio, we can multiply both sides by 3 to eliminate the denominator:

(2/3) * 3 : 2 * 3

This simplifies to:

2 : 6

So, for every 2 teaspoons of vanilla, 6 cups of sugar are used.

Now, to find out how much sugar was used per teaspoon of vanilla, we divide the total cups of sugar by the total teaspoons of vanilla:

6 cups of sugar / 2 teaspoons of vanilla

This gives us:

3 cups of sugar per teaspoon of vanilla.

Therefore, in the given recipe, 3 cups of sugar are used for every teaspoon of vanilla.