Roy's lemon cookie recipe calls for 3 1/2 cups of sugar. How much sugar would Roy use to make 3 1/2 batches of cookies?

To find out how much sugar Roy would use for 3 1/2 batches of cookies, you need to multiply the amount of sugar required for one batch by the number of batches he's making.

Roy's recipe calls for **3 1/2 cups of sugar** for one batch. He is making **3 1/2 batches**. The calculation is:

\[
3 \frac{1}{2} \times 3 \frac{1}{2} = \frac{7}{2} \times \frac{7}{2} = \frac{49}{4} = 12 \frac{1}{4}
\]

So, Roy would need **12 1/4 cups of sugar** for 3 1/2 batches of cookies.

Would you like more details or have any other questions?

Here are 5 related questions:
1. How would the sugar amount change if Roy made 2 1/2 batches instead of 3 1/2?
2. If Roy has only 10 cups of sugar, how many batches of cookies can he make?
3. How much sugar would Roy need for 5 batches of cookies?
4. What if Roy increases the sugar per batch by 25%? How much sugar would he need for 3 1/2 batches then?
5. How many cups of sugar would Roy need for half a batch of cookies?

**Tip**: When working with mixed numbers, converting them to improper fractions can make multiplication easier.

Learn how to multiply mixed numbers to calculate the total amount of sugar Roy needs for 3 1/2 batches of lemon cookies. This problem demonstrates key concepts such as multiplying fractions and converting mixed numbers. Suitable for students in Grades 5-6.

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