SOLUTION: Lee blends coffee for a living. He needs to prepare 140 pounds of blended coffee beans selling for $4.11 per pound. He plans to do this by blending together a high-quality bean cos

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Question 798204: Lee blends coffee for a living. He needs to prepare 140 pounds of blended coffee beans selling for $4.11 per pound. He plans to do this by blending together a high-quality bean costing $5.00 per pound and a cheaper bean at $2.50 per pound. To the nearest pound, how much high-quality coffee bean and how much cheaper coffee bean he should blend?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Lee blends coffee for a living. He needs to prepare 140 pounds of blended coffee beans selling for $4.11 per pound. He plans to do this by blending together a high-quality bean costing $5.00 per pound and a cheaper bean at $2.50 per pound. To the nearest pound, how much high-quality coffee bean and how much cheaper coffee bean he should blend?
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Equations:
Quantity Eq.::: lower + higher = 140 lbs
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Value Eq:::::: 2.5L +5H = 4.11*140 dollars
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Modify:
250L + 250H = 250*140
250L + 500H = 411*140
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Solve for H:
250H = 161*140
H= (14/25)161
H = 90.16 lbs (amt. of high-quality beans needed)
L = 140-H = 49.84 lbs (amt. of lower-quality beans needed)
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Cheers,
Stan H.
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