A thirty-pound bag of coffee mixture is to be made from two types of coffee, one selling for $9.20 per pound and the other for $11.00 per pound. If the mixture is to have a price of $10.28 per pound, how much of each type is included?
Answer (2)
The system is something like this (you get fractional parts): x + y = 1 9.2 x + 11 y = 10.28 11 x + 11 y = 11 9.2 x + 11 y = 10.28 1.8 x = .72 x = 5 9 25 18 = 25 18 ∗ 9 5 = 5 2 You get 2 parts of $9.20 coffee and 3 parts of $11 coffee in the mixture.
The mixture consists of 12 pounds of coffee that costs $9.20 per pound and 18 pounds of coffee that costs $11.00 per pound. This amounts to a total of 30 pounds of coffee at an average price of $10.28 per pound. The solution was reached by setting up and solving a system of equations based on the weight and price constraints.
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