you have 8 cups of sugar. A recipe calls for 2/3 cup of sugar. Another recipe calls 1/4 cup of sugar. How much sugar do you have left after making the recipes

To find out how much sugar you have left after making the recipes, you need to subtract the amount of sugar used in each recipe from the total amount you have initially.

Let's calculate it step by step:

1. Calculate the amount of sugar used in the first recipe:
The first recipe calls for 2/3 cup of sugar. Since you have 8 cups of sugar, you can calculate the amount used as:
8 cups - (2/3 cups) = 24/3 - 2/3 = 22/3 cups of sugar used.

2. Calculate the amount of sugar used in the second recipe:
The second recipe calls for 1/4 cup of sugar. Since you have already used 22/3 cups of sugar, you can calculate the additional amount used as:
22/3 cups - (1/4 cups) = 88/12 - 3/12 = 85/12 cups of sugar used.

3. Calculate the remaining amount of sugar:
To find out how much sugar you have left, you subtract the total amount used from the initial amount:
8 cups - (22/3 cups + 1/4 cups) = 8 - (66/12 + 3/12) = 8 - 69/12 = 99/12 - 69/12 = 30/12 = 2.5 cups of sugar left.

Therefore, you would have 2.5 cups of sugar left after making the recipes.