1)        Patti was making ice cream for her friends. The recipe called for 3 ¼ cups of sugar, to feed 10 people. If Patti was cooking for 5 people, how many cups of sugar should she use?

Patti's recipe calls for 3 ¼ cups of sugar to feed 10 people. To find out how much sugar she should use for 5 people, we first need to determine how much sugar is needed per person, and then multiply by the number of people.

1. **Convert 3 ¼ cups to an improper fraction:**
   \[
   3 \frac{1}{4} = \frac{13}{4} \text{ cups}
   \]

2. **Calculate the amount of sugar per person:**
   \[
   \text{Sugar per person} = \frac{13}{4} \div 10 = \frac{13}{4} \times \frac{1}{10} = \frac{13}{40} \text{ cups}
   \]

3. **Calculate the amount of sugar for 5 people:**
   \[
   \text{Sugar for 5 people} = \frac{13}{40} \times 5 = \frac{65}{40} = \frac{13}{8} \text{ cups}
   \]

4. **Convert \(\frac{13}{8}\) cups to a mixed number:**
   \[
   \frac{13}{8} = 1 \frac{5}{8} \text{ cups}
   \]

So, Patti should use **1 \(\frac{5}{8}\) cups** of sugar to make ice cream for 5 people.

Would you like more details or have any questions?

Here are some related questions:
1. How much sugar would Patti need if she wanted to make ice cream for 15 people?
2. What if Patti only had 2 cups of sugar? How many people could she serve?
3. How much sugar should Patti use if she wanted to reduce the recipe to serve just 1 person?
4. What if Patti's recipe was doubled to serve 20 people? How much sugar would she need?
5. How would the sugar amount change if the recipe was altered to use 2 ½ cups of sugar for 10 people?

**Tip:** When dealing with fractions, converting to improper fractions can make calculations easier, especially for multiplication and division.

Find out how much sugar Patti should use to make ice cream for 5 people. The problem involves fractions and multiplication of fractions to determine the correct amount of sugar. Learn how to convert mixed numbers to improper fractions and calculate servings accurately. Suitable for students in Grades 4-6.

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