COFFEE A coffee manufacturer sells a 10-pound package that
Chapter , Problem 73(choose chapter or problem)
COFFEE A coffee manufacturer sells a 10-pound package that contains three flavors of coffee for $26. French vanilla coffee costs $2 per pound, hazelnut flavored coffee costs $2.50 per pound, and Swiss chocolate flavored coffee costs $3 per pound. The package contains the same amount of hazelnut as Swiss chocolate. Let represent the number of pounds of French vanilla, represent the number of pounds of hazelnut, and represent the number of pounds of Swiss chocolate. (a) Write a system of linear equations that represents the situation. (b) Write a matrix equation that corresponds to your system. (c) Solve your system of linear equations using an inverse matrix. Find the number of pounds of each flavor of coffee in the 10-pound package.
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