Final answer:
Approximately 1.36 kilograms of coffee are needed to produce 150 cups of coffee, based on the given proportion and conversion from pounds to kilograms.
Step-by-step explanation:
To determine how many kilograms of coffee are required to produce 150 cups of coffee, we know that 1 pound of coffee yields 50 cups. Therefore, we need to find out how many pounds are needed for 150 cups by setting up the proportion:
- 50 cups / 1 pound = 150 cups / x pounds
- 1 pound = 0.453592 kilograms
Solving this proportion gives us:
- x = 150 cups / 50 cups = 3 pounds
To convert pounds to kilograms, we use the conversion factor:
- 3 pounds × 0.453592 = 1.360776 kilograms
So approximately 1.36 kilograms of coffee are required to make 150 cups of coffee.