COFFEE A coffee manufacturer sells a 10-poundpackage that contains three flavors of

Chapter 7, Problem 71

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COFFEE A coffee manufacturer sells a 10-poundpackage that contains three flavors of coffee for $26.French vanilla coffee costs $2 per pound, hazelnut flavoredcoffee costs $2.50 per pound, and Swiss chocolateflavored coffee costs $3 per pound. The package containsthe same amount of hazelnut as Swiss chocolate. Letrepresent the number of pounds of French vanilla, representthe number of pounds of hazelnut, and representthe number of pounds of Swiss chocolate.(a) Write a system of linear equations that representsthe situation.(b) Write a matrix equation that corresponds to yoursystem.(c) Solve your system of linear equations using aninverse matrix. Find the number of pounds of eachflavor of coffee in the 10-pound package.

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