Sugar For Cookies 170B30
1. **State the problem:** We need to find how much sugar is required to make 10 dozen cookies if 2 dozen cookies require 1 \frac{1}{3} cups of sugar.
2. **Identify the given information:**
- Sugar needed for 2 dozen cookies = 1 \frac{1}{3} cups = \frac{4}{3} cups
- We want sugar for 10 dozen cookies.
3. **Set up the proportion:**
Since sugar amount is proportional to the number of cookies, we use the formula:
$$\text{sugar for 10 dozen} = \frac{10}{2} \times \text{sugar for 2 dozen}$$
4. **Calculate:**
$$\frac{10}{2} = 5$$
$$5 \times \frac{4}{3} = \frac{20}{3} = 6 \frac{2}{3}$$
5. **Answer:**
You need $6 \frac{2}{3}$ cups of sugar to make 10 dozen cookies.