SOLUTION: The Golden Cup Coffee Shop sells Hawaiian Kona coffee for $36.50 per pound and Sulawesi Kalossi coffee for $13.00 per pound . The coffee shop also makes a homemade blend of thes

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The Golden Cup Coffee Shop sells Hawaiian Kona coffee for $36.50 per pound and Sulawesi Kalossi coffee for $13.00 per pound . The coffee shop also makes a homemade blend of thes      Log On


   

Question 758598: The Golden Cup Coffee Shop sells Hawaiian Kona coffee for $36.50 per pound
and Sulawesi Kalossi coffee for $13.00 per pound . The coffee shop also makes a homemade blend of
these two coffees that sells for $20.52 per pound (obviously a high-end coffee shop!!). How much of
each coffee should they blend together to make a 100 lb bag of the blend?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The Golden Cup Coffee Shop sells Hawaiian Kona coffee for $36.50 per pound
and Sulawesi Kalossi coffee for $13.00 per pound .
The coffee shop also makes a homemade blend of
these two coffees that sells for $20.52 per pound (obviously a high-end coffee shop!!).
How much of each coffee should they blend together to make a 100 lb bag of the blend?
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Equations:
Quantity Eq::: H + K = 100 lbs
Value Eq::::36.50H + 13.00K = 20.52*100 dollars
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Modify for elimination:
1300H + 1300K = 1300*100
3650H + 1300K = 2052*100
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2350H = 752*100
H = 32 lbs (amt. of Hawaian coffee needed)
------
Solve for "K":
H + K = 100
K = 68 lbs (amt of Kalossi coffee needed)
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Cheers,
Stan H.
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