The number of liters of coffee that can be obtained per kilogram of coffee beans is; 5277.78 liters of coffee per kg of coffee beans
We are told that 1 pound of coffee yields 50 cups of coffee.
So we need to find the pounds of coffee beans required to produce 250 cups
Let's say we want to find the kg of coffee required to produce 200 cups of coffee. Then it is;
1 pound/50 cups * 4/4
= 4 pound/200 cups * kg/2.205 pound
= 0.009 kg/200 cups
Therefore 0.009 kilogram is used to produce 200 cups of coffee
Thus;
number of cups per kg = 200/0.009 cups per kg
Since 4 cups = 1 qt = 0.95 L
Then; 200/0.009 cups = ((200/0.009) * 0.95)/4
⇒ 5277.78 liters of coffee per kg of coffee beans
Read more about units conversion at; https://brainly.com/question/332678