Problema Solution

Brian's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Brian $4.30 per pound, and type B coffee costs $5.90 per pound. This month, Brian made 141 pounds of the blend, for a total cost of $742.30. How many pounds of type B coffee did he use?

Answer provided by our tutors

et


a = lbs of the type A coffee used

b = lbs of the type B coffee used


his month, Brian made 141 pounds of the blend


a + b = 141


the total cost of the blend is $742.30


4.30*a + 5.90*b = 742.30


by solving the system of equations


a + b = 141

4.30*a + 5.90*b = 742.30


we find


b = 85 lbs


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He used 85 pounds of type B coffee.