Subjects algebra

Sugar For Cookies 170B30

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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.