You need 
 
1 1/4 cups of sugar to make 20 cookies

How much to make 8 cookies

To find out how much sugar is needed to make 8 cookies, you can set up a proportion based on the amount needed for 20 cookies. 

Here's the step-by-step solution:

1. You need \(1 \frac{1}{4}\) cups of sugar for 20 cookies. Converting \(1 \frac{1}{4}\) to an improper fraction:

   \[
   1 \frac{1}{4} = \frac{5}{4} \text{ cups}
   \]

2. Let \(x\) be the amount of sugar needed for 8 cookies. Set up the proportion:

   \[
   \frac{5}{4} \text{ cups} : 20 \text{ cookies} = x \text{ cups} : 8 \text{ cookies}
   \]

3. Solve for \(x\):

   \[
   x = \frac{5}{4} \times \frac{8}{20}
   \]

4. Simplify the expression:

   \[
   x = \frac{5 \times 8}{4 \times 20} = \frac{40}{80} = \frac{1}{2} \text{ cup}
   \]

So, you need **\( \frac{1}{2} \) cup of sugar** to make 8 cookies.

Would you like more details or have any questions?

Here are some related questions:

1. How much sugar is needed for 10 cookies?
2. If you need to make 30 cookies, how much sugar will you need?
3. How many cookies can you make with 2 cups of sugar?
4. What is the ratio of sugar to cookies in simplest form?
5. If the recipe changes and you need 1 1/2 cups of sugar for 20 cookies, how much would you need for 8?

**Tip:** When scaling recipes, setting up a proportion can help you adjust the quantities accurately.

You need 1 1/4 cups of sugar to make 20 cookies. How much to make 8 cookies?

Learn how to use proportions to determine the amount of sugar needed for 8 cookies when 1 1/4 cups of sugar is required for 20 cookies. This problem demonstrates fraction conversion and proportional reasoning, ideal for students in Grades 5-7.

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