SOLUTION: John likes dark coffe beans, which cost $8.50/kg. Brad likes mild coffe beans which cost $9.20/kg. They buy a 5.5kg made from a blend of both type of beans that cost $48.50. How ma

Question 325106: John likes dark coffe beans, which cost $8.50/kg. Brad likes mild coffe beans which cost $9.20/kg. They buy a 5.5kg made from a blend of both type of beans that cost $48.50. How many kg of each type of bean went into the mixture?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
John likes dark coffe beans, which cost $8.50/kg. Brad likes mild coffe beans which cost $9.20/kg. They buy a 5.5kg made from a blend of both type of beans that cost $48.50. How many kg of each type of bean went into the mixture?
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Equations
Weight Eq:::::d + m = 5.5 kg
Value Eq::::8.5d + 9.2m = 48.5
-----------------------------------
Multiply thru 1st by 85
Multiply thru 2nd by 10
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85d + 85m = 85*5.5
85d + 92m = 485
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Subtract 1st from 2nd and solve for "m":
7m = 17.5
m = 2.5 kg (weight of mild coffee in the mixture)
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Since d+m = 5.5, m = 3 kg (weight of dark coffee in the mixture)
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Cheers,
Stan H.
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