1. **State the problem:** We are given the number of recycled items for March, April, and May, and the total recycled items over these three months. We need to find the number of items recycled in May and then complete a pie chart showing the proportion of recycled items for each month. 2. **Given data:** - Total recycled items: 1800 - March: 400 - April: 635 - May: ? 3. **Find the number of items recycled in May:** Use the formula: $$\text{Total} = \text{March} + \text{April} + \text{May}$$ Rearranged to find May: $$\text{May} = \text{Total} - (\text{March} + \text{April})$$ Calculate: $$400 + 635 = 1035$$ $$\text{May} = 1800 - 1035 = 765$$ 4. **Complete the pie chart:** The pie chart represents 360 degrees total. Each sector's angle corresponds to the fraction of items recycled that month. Formula for each angle: $$\text{Angle} = \frac{\text{Number of items in month}}{\text{Total items}} \times 360^\circ$$ Calculate each angle: - March: $$\frac{400}{1800} \times 360 = \frac{2}{9} \times 360 = 80^\circ$$ - April: $$\frac{635}{1800} \times 360 = \frac{635 \times 360}{1800} = 127^\circ$$ (rounded) - May: $$\frac{765}{1800} \times 360 = \frac{17}{40} \times 360 = 153^\circ$$ (rounded) 5. **Check sum of angles:** $$80^\circ + 127^\circ + 153^\circ = 360^\circ$$ 6. **Label the pie chart sectors:** - March: 400 items, 80° - April: 635 items, 127° - May: 765 items, 153° This completes the pie chart with correct sector sizes and labels.