Answer:
(24, 4)
Explanation:
Let's call x the amount of fruit juice and y the amount of ginger ale.
Then, she plans to add at least 20 cups of fruit juice, which means that x is greater than or equal to 20, so
x ≥ 20
Additionally, the cup has a capacity of 32 cups, so the sum of the amounts x and y should be lower than or equal to 32, so
x + y ≤ 32
y ≤ 32 - x
Therefore, we need to graph the system of equations
x ≥ 20
y ≤ 32 - x
So the region will be on the right of the line x = 20 and below the line y = 32 - x as it is shown in the following graph
Finally, a valid solution is a point (x, y) = (24, 4) because it satisfies both equations
x ≥ 20
24 ≥ 20
y ≤ 32 - x
4 ≤ 32 - 24
4 ≤ 8
