Cost per Pound of Coffee Beans

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In summary, the cost per pound of the espresso flavored coffee beans is \$12 and the cost per pound of the vanilla flavored coffee beans is \$11.
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A coffee house blended 12 pounds of espresso flavored coffee beans with 11 pounds of vanilla flavored coffee beans. The 23 pound mixture cost \$166.50. A second mixture included 17 pounds of espresso flavored coffee beans and 18 pounds of vanilla flavored coffee beans. The 35 pound mixture cost \$254. Find the cost per pound of the espresso and vanilla flavored coffee beans.
 
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Hello and welcome to MHB, cjowens722! (Wave)

Normally, we expect people posting questions to show what they have tried so far so our helpers know how best to help by showing where you may be going astray or offer a hint on how to proceed.

I would begin by defining variables to represent the unknown quantities which we are asked to find:

$E$ = cost per pound of the espresso flavored coffee beans.

$V$ = cost per pound of the vanilla flavored coffee beans.

Now the first two sentences gives us an equation we can write:

\(\displaystyle 12E+11V=166.5\)

Can you write the other equation we can get from the next two sentences?

Once you do this, you have two equations in two unknowns, and you have probably (hopefully) just prior to this been given at least one technique for solving simulatneous linear equations. Can you proceed and show us what you get?
 

What is meant by "Cost per Pound of Coffee Beans"?

The cost per pound of coffee beans refers to the price that is paid for one unit of weight, specifically one pound, of coffee beans. This is a common metric used in the coffee industry to determine the value of coffee beans.

How is the cost per pound of coffee beans determined?

The cost per pound of coffee beans is determined by dividing the total cost of the beans by the total weight in pounds. For example, if a bag of coffee beans costs $20 and weighs 2 pounds, the cost per pound would be $10.

What factors can affect the cost per pound of coffee beans?

There are several factors that can affect the cost per pound of coffee beans. These include the type and quality of the beans, the region they are grown in, the demand for the beans, and the cost of production and transportation.

How does the cost per pound of coffee beans impact the final price of a cup of coffee?

The cost per pound of coffee beans is just one factor that impacts the final price of a cup of coffee. Other factors such as labor, equipment, and overhead costs also play a role. However, a higher cost per pound of coffee beans will generally lead to a higher price for a cup of coffee.

Why is it important to consider the cost per pound of coffee beans?

For coffee businesses, understanding the cost per pound of coffee beans is crucial for determining their profitability and making informed decisions about pricing. For consumers, it can help them understand the value of the coffee they are purchasing and make more informed purchasing decisions.

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