SOLUTION: There are two types of coffee bean used to make a blend of coffee. If Bean A costs $0.80 per kilogram and Bean B should be used in 10 kg of the blend to make the overall cost of th

Question 888616: There are two types of coffee bean used to make a blend of coffee. If Bean A costs $0.80 per kilogram 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?
Round to the one decimal place
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
You need to assign variables to specific numbers or quantities.

L = unknown, for the lower priced bean B
H = 0.80 dollars/kg of bean A
T = 0.60 dollars/kg of the mixture
M = 10 kg, amount of mixture
x = unknown, how much of bean B
y = unknown, how much of bean A

You omitted some information from the description or the question. You have three unknown variables: L, x, and y. Two equations are possible for the set of assigned variables:

and

You may be able to solve enough to get a range of values for x, y, and L; but the system as currently, has infinite solutions. You can find a clear treatment about this kind of problem in this lesson: Mixture: Two-Part, price or cost, both material amounts unknown (unless the link does not work for some reason).
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