Final answer:
To determine the number of batches of cinnamon rolls that can be made, you need to calculate the amount of filling required per batch. The ratio given is 5:10, which simplifies to 1:2. Hence, for each teaspoon of cinnamon, you need 2 tablespoons of sugar. You can find the number of batches by dividing the available sugar by the amount needed.
Step-by-step explanation:
To determine how many batches of cinnamon rolls can be made, we need to calculate the amount of filling required for each batch. The recipe uses a ratio of 2 tablespoons of sugar per teaspoon of cinnamon. Since the ratio is 5:10, we can divide both sides of the ratio by 5 to simplify it to 1:2. Therefore, for each teaspoon of cinnamon, we need 2 tablespoons of sugar. To make a batch of cinnamon rolls, we need enough filling for each teaspoon of cinnamon in the recipe.
Since we are given the ratio in terms of teaspoons of cinnamon, we need to find the total amount of cinnamon in the recipe. Let's assume there is 1 teaspoon of cinnamon in each batch of cinnamon rolls. Using the ratio, we can calculate the amount of sugar needed for 1 teaspoon of cinnamon by multiplying 2 tablespoons by 1 teaspoon. This gives us a result of 2 tablespoons of sugar per teaspoon of cinnamon. Therefore, for each batch of cinnamon rolls, we need 2 tablespoons of sugar.
To find out how many batches we can make, we need to determine the total amount of sugar available. If you provide the amount of sugar you have, I can help you calculate the number of batches that can be made.