1. **Calculate the total amount of each ingredient by multiplying cups by quantity.** - Sugar: $1 \frac{3}{4} = \frac{7}{4}$ cups, quantity = 2 $$\text{Total} = 2 \times \frac{7}{4} = \frac{14}{4} = 3 \frac{2}{4} = 3 \frac{1}{2}$$ cups - Brown Sugar: $2 \frac{2}{4} = 2 \frac{1}{2} = \frac{5}{2}$ cups, quantity = 2 $$\text{Total} = 2 \times \frac{5}{2} = \cancel{2} \times \frac{5}{\cancel{2}} = 5$$ cups - Flour: $3 \frac{3}{4} = \frac{15}{4}$ cups, quantity = 1 $$\text{Total} = 1 \times \frac{15}{4} = \frac{15}{4} = 3 \frac{3}{4}$$ cups - Chocolate Chips: $2 \frac{5}{6} = \frac{17}{6}$ cups, quantity = 3 $$\text{Total} = 3 \times \frac{17}{6} = \frac{51}{6} = 8 \frac{3}{6} = 8 \frac{1}{2}$$ cups 2. **Complete the statement and solve:** $$3 \times 5 \frac{2}{3} = 3 \times \frac{17}{3} = \cancel{3} \times \frac{17}{\cancel{3}} = 17$$ So, $3 \times 5 \frac{2}{3} = \boxed{3 \text{ groups of } 5 \frac{2}{3}} = 17$. 3. **Lisa collected 8 \frac{1}{4} pounds. Carl collected 6 times as much. How many pounds did Carl collect?** Convert $8 \frac{1}{4} = \frac{33}{4}$ pounds. Multiply by 6: $$6 \times \frac{33}{4} = \frac{198}{4} = 49 \frac{2}{4} = 49 \frac{1}{2}$$ pounds. Answer: Carl collected $\boxed{49 \frac{1}{2}}$ pounds. 4. **Choose the symbol that completes the comparison:** Calculate each side: Left: $2 \times 3 \frac{1}{2} = 2 \times \frac{7}{2} = \cancel{2} \times \frac{7}{\cancel{2}} = 7$ Right: $2 \frac{4}{7} \times 3 = \frac{18}{7} \times 3 = \frac{54}{7} = 7 \frac{5}{7}$ Since $7 < 7 \frac{5}{7}$, the correct symbol is $<$. **Final answers:** - Sugar total: $3 \frac{1}{2}$ cups - Brown Sugar total: $5$ cups - Flour total: $3 \frac{3}{4}$ cups - Chocolate Chips total: $8 \frac{1}{2}$ cups - $3 \times 5 \frac{2}{3} = 17$ - Carl collected $49 \frac{1}{2}$ pounds - Comparison symbol: $<$