Concept explainers
Coffee Blends A customer in a coffee shop purchases a blend of two coffees: Kenyan, costing $3.50 a pound, and Sri Lankan, costing $5.60 a pound. He buys 3 lb of the blend, which costs him $11.55. How many pounds of each kind went into the mixture?
To find: The quantity of two types of coffees into the mixture.
Answer to Problem 66E
The quantity of Kenyan coffee is 2.5 pounds and Sri Lankan coffee is 0.5 pounds.
Explanation of Solution
Given:
The cost of Kenyan coffee is $3.50 a pound.
The cost of Sri Lankan coffee is $5.60 a pound.
Customer buys 3 lb both type coffees and total cost is $11.55.
Calculation:
Let the quantity of Kenyan coffee be x pounds and Sri Lankan coffee be y pounds.
According to the given data, total quantity of both type coffees is 3.
According to the given data, cost of Kenyan coffee is $3.50, Sri Lankan coffee is $5.60 and total cost is $11.55,
Use substitution method to find the values of x and y.
Simplify equation (1) for the value of x.
Substitute
Simplify the above equation.
The value of y is 0.5.
Back - substitute 0.5 for y in equation (1).
The value of x is 2.5.
Thus, the quantity of Kenyan coffee is 2.5 pounds and Sri Lankan coffee is 0.5 pounds.
Chapter 10 Solutions
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