Answer:
2 cups of sugar
Step-by-step explanation:
2/3 cup of sugar = 1/3 of a cupcake recipe
x cup of sugar = 1 cupcake recipe
We cross multiply and get:
1/3x = 2/3
x = 6/3
x = 2 cups of sugar
So, one whole cupcake recipe requires 2 cups of sugar.
Caleb needs 2 cups of sugar to make one whole cupcake recipe. This is determined by setting up a proportion based on the given ratio and solving for the unknown quantity of sugar.
The question asks us to find out how much sugar is needed to make one whole cupcake recipe given that 2/3 cup of sugar makes 1/3 of a recipe. To find the amount needed for a full recipe, we need to set up a proportion because we have the equivalency ratio (2/3 cup sugar is to 1/3 recipe as x cup sugar is to 1 recipe).
Let's call the amount of sugar needed for one whole recipe 'x'. Since 2/3 cup of sugar is enough for 1/3 of a recipe, we can use the following proportion to solve for 'x':
(2/3 c sugar) / (1/3 recipe) = (x c sugar) / (1 recipe)
This simplifies to:
2/3 = x / 1
Multiplying both sides by the reciprocal of 1/3, which is 3, we get:
2 = 3x
Thus, dividing both sides by 3 gives us:
x = 2/3 * 3
x = 2
Therefore, Caleb needs 2 cups of sugar to make one whole cupcake recipe.
