On Saturday, a person sold 15 glasses of juice with different quantities of juice in each glass. A line plot shows the number of glasses for different quantities of juice. On Sunday, the person sold 15 glasses of juice, each containing $\frac{3}{4}$ liters. The problem asks to determine how much more juice the person sold on Sunday than on Saturday.

1. Problem Description

On Saturday, a person sold 15 glasses of juice with different quantities of juice in each glass. A line plot shows the number of glasses for different quantities of juice. On Sunday, the person sold 15 glasses of juice, each containing $\frac{3}{4}$ liters. The problem asks to determine how much more juice the person sold on Sunday than on Saturday.

2. Solution Steps

First, we calculate the total amount of juice sold on Saturday. From the line plot, we can determine the number of glasses sold for each quantity:

- $\frac{1}{4}$ liters: 6 glasses

- $\frac{1}{2}$ liters: 4 glasses

- $\frac{3}{4}$ liters: 3 glasses

- 1 liter: 2 glasses

The total amount of juice sold on Saturday is:

$6 \times \frac{1}{4} + 4 \times \frac{1}{2} + 3 \times \frac{3}{4} + 2 \times 1 = \frac{6}{4} + \frac{4}{2} + \frac{9}{4} + 2 = \frac{3}{2} + 2 + \frac{9}{4} + 2 = \frac{6}{4} + \frac{8}{4} + \frac{9}{4} + \frac{8}{4} = \frac{31}{4}$ liters.

On Sunday, the person sold 15 glasses of juice, each containing $\frac{3}{4}$ liters.

The total amount of juice sold on Sunday is:

$15 \times \frac{3}{4} = \frac{45}{4}$ liters.

To find the difference between the amount of juice sold on Sunday and Saturday, we subtract the amount sold on Saturday from the amount sold on Sunday:

$\frac{45}{4} - \frac{31}{4} = \frac{45 - 31}{4} = \frac{14}{4} = \frac{7}{2} = 3.5$ liters.

3. Final Answer

3. 5 liters