When the coffee is brewed according to directions, a pound of coffee beans yields 50 cups of coffee (4cups = 1 qt). how many liters of coffee can be obtained per kilogram of coffee beans?

Respuesta :

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

How to convert units?

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