1. **State the problem:** Harley has 6 pints of lemonade. Rosie has 3 \frac{2}{3} times as many pints as Harley. We need to find: a) How many pints Rosie has. b) How many more pints Rosie has than Harley. 2. **Convert the mixed number to an improper fraction:** \[3 \frac{2}{3} = \frac{3 \times 3 + 2}{3} = \frac{9 + 2}{3} = \frac{11}{3}\] 3. **Calculate how many pints Rosie has:** Rosie's pints = Harley's pints \times \frac{11}{3} \[= 6 \times \frac{11}{3} = \frac{6 \times 11}{3} = \frac{66}{3} = 22\] 4. **Calculate how many more pints Rosie has than Harley:** Difference = Rosie's pints - Harley's pints \[= 22 - 6 = 16\] **Final answers:** a) Rosie has 22 pints of lemonade. b) Rosie has 16 more pints than Harley.