A recipe calls for 1.5 cups of sugar for every 1/2 teaspoons of vanilla. How much vanilla should be used for every 1 cup of sugar?
1.5/0.5 = 3:1 = 1 : 1/3
Not many measuring sets have 1/3 tsp spoons, however ...
0.5/1.5 = 1/3 teaspoons of vanilla / cup of sugar.
To determine how much vanilla should be used for every 1 cup of sugar, we can set up a proportional relationship between the amounts of sugar and vanilla.
The recipe states that for every 1.5 cups of sugar, we need 1/2 teaspoon of vanilla. Now, we want to find out how much vanilla is needed for 1 cup of sugar.
Let's set up the proportion:
(1.5 cups of sugar) / (1/2 teaspoon of vanilla) = (1 cup of sugar) / (x teaspoons of vanilla)
To solve for x, we can cross multiply:
(1.5) * (x) = (1) * (1/2)
1.5x = 1/2
Next, divide both sides of the equation by 1.5:
x = (1/2) / (1.5)
Simplifying the right-hand side:
x = 1/2 * 2/3
x = 2/6
x = 1/3
Therefore, for every 1 cup of sugar, you should use 1/3 teaspoon of vanilla.
To determine how much vanilla should be used for every 1 cup of sugar, we can set up a ratio based on the given information.
The recipe states that we need 1.5 cups of sugar for every 1/2 teaspoon of vanilla. Let's write this as a ratio:
1.5 cups sugar : 0.5 teaspoon vanilla
Now, we can calculate how much vanilla should be used for 1 cup of sugar.
Step 1: Set up the proportion using the ratio:
1.5 cups sugar = 0.5 teaspoon vanilla
1 cup sugar = x teaspoon vanilla
Step 2: Cross-multiply and solve for x:
1.5 * x = 0.5 * 1
1.5x = 0.5
x = 0.5 / 1.5
x = 0.333...
Hence, you should use approximately 0.333 teaspoons (or 1/3 teaspoon) of vanilla for every 1 cup of sugar in the recipe.