Question

When the coffee is brewed according to directions, a pound of coffee beans yields 50 cups of coffee (4 cups = 1 qt). How many kg of coffee are required to produce 250 cups of coffee?

Answer 1

1 pound of coffee is said to yield 50 cups of coffee

So we need to find the pounds of coffee beans required to produce 250 cups

so if 50 cups need 1 pound of coffee beans

therefore 250 cups need - 1/50 x 250 = 5 pounds of coffee beans

since we have to find the amount of coffee beans needed in kg, we have to convert pounds to kg

1 pound = 0.45 kg

So if 1 pound is equivalent to 0.45 kg

then 5 pounds are equivalent to - 0.45 kg/pound x 5 pounds = 2.25 kg

therefore 2.25 kg of coffee beans are required

Answer 2

$\boxed{2.26796{\text{ kg}}}$ of coffee beans is required to produce 250 cups of coffee.

Further Explanation:

The standard that is used to compare the measurements is called unit. Units are of two types, basic or fundamental and derived units. The units that cannot number are called basic units. For example, mass, time and temperature are basic units. The units that depend upon basic units to express themselves are called derived units. Volume, area, and density are some examples of derived units.

One unit can be converted into another one with the help of proper conversion factor. Conversion factors are the ratios that are written in the form of fractions, which when multiplied by the original unit, gives the desired units.

It is given that one pound of coffee beans yields 50 cups of coffee. Therefore the amount of coffee beans required to produce 250 cups of coffee can be calculated as follows:

$\begin{aligned}{\text{Amount of coffee beans required}}&=\left( {250{\text{ cups}}} \right)\left( {\frac{{1{\text{ pound}}}}{{50{\text{ cups}}}}} \right)\\&=5{\text{pounds}}\\\end{aligned}$

The amount of coffee beans has to be converted into kilograms. The conversion factor for this is,

 $1{\text{ pound}} = 0.453592{\text{ kg}}$

Therefore the amount of coffee beans can be calculated as follows:

 $\begin{aligned}{\text{Amount of coffee beans required}}&= \left( {{\text{5 pounds}}} \right)\left( {\frac{{{\text{0}}{\text{.453592 kg}}}}{{{\text{1 pound}}}}} \right)\\&= 2.26796{\text{ kg}}\\\end{aligned}$

Learn more:

1. What is the mass of 1 mole of viruses: brainly.com/question/8353774
2. Determine the moles of water produced: brainly.com/question/1405182

Answer details:

Grade: Senior School

Subject: Chemistry

Chapter: Basic concepts of chemistry

Keywords: unit, conversion factor, basic, fundamental, derived units, standard, mass, time, temperature, area, volume, density, coffee, coffee beans, 2.26796 kg, 5 pounds, 1 pound, 0.453592 kg.