What was the average amount of smoothie in each glass?

Answer

To find the average amount of smoothie in each glass, we first need to gather the measurements represented on the number line. The amounts indicated by the green marks are: 1. 2 1/8 cups 2. 2 2/8 cups (which simplifies to 2 1/4 cups) 3. 2 3/8 cups 4. 2 4/8 cups (which simplifies to 2 1/2 cups) 5. 2 5/8 cups 6. 2 6/8 cups (which simplifies to 2 3/4 cups) 7. 3 1/8 cups Now we sum these amounts: - 2 1/8 + 2 1/4 + 2 3/8 + 2 1/2 + 2 5/8 + 2 3/4 + 3 1/8 We can convert each mixed number to an improper fraction for easier calculations: - 2 1/8 = 17/8 - 2 1/4 = 9/4 = 18/8 - 2 3/8 = 19/8 - 2 1/2 = 5/2 = 20/8 - 2 5/8 = 21/8 - 2 3/4 = 11/4 = 22/8 - 3 1/8 = 25/8 Now adding these: (17/8) + (18/8) + (19/8) + (20/8) + (21/8) + (22/8) + (25/8) = (17 + 18 + 19 + 20 + 21 + 22 + 25) / 8 = (142) / 8 = 17 6/8 = 17 3/4 cups average. Finally, divide the total by the number of glasses (7): (17 3/4) ÷ 7 = (71/4) ÷ (7/1) = (71/4) × (1/7) = 71 / 28 = 2 15/28. Thus, the average amount of smoothie in each glass is 2 15/28 cups.