Problema Solution

There are two types of coffee beans being used to make a blend of coffee. If Bean A costs $0.80 per kilogram and Bean B costs $0.45. What weight of Bean A and Bean B should be used in 10 kg of the blend to make the overall cost of the blend equal to $0.60 per kilogram?

Answer provided by our tutors

let


a = the weight of Bean A coffee


b = the weight of Bean B coffee


a + b = 10


0.80a + 0.45b = 0.60*10


by solving the above system of equations we find:


a = 4.29 kg


b = 5.71 kg


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4.29 kg of Bean A and 5.71 kg of Bean B should be used.