SOLUTION: How many lbs of Brazilian coffee costing $6.00 per lb must be mixed with how many lbs of columbian coffee costing $4.00 per lb to produce 36 lbs of a mixture costing $4.50 per lb?

Question 133686: How many lbs of Brazilian coffee costing $6.00 per lb must be mixed with how many lbs of columbian coffee costing $4.00 per lb to produce 36 lbs of a mixture costing $4.50 per lb?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How many lbs of Brazilian coffee costing $6.00 per lb must be mixed with how many lbs of columbian coffee costing $4.00 per lb to produce 36 lbs of a mixture costing $4.50 per lb?
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$6.00 coffee DATA:
Let amount be "x" lbs. ; Value is 6x dollars
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$4.00 Coffee DATA:
Amount is "36-x" lbs. ; Value is 4(35-x) = 140-4x dollars
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Mixture DATA:
Amount is 36 lbs : Value is 4.5(36) = 162 dollars
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EQUATION:
value + value = value
6x + 140-4x = 162
2x = 22
x = 11 lbs (Amount of $6 coffee in the mixtue)
36-11 = 25 lbs (Amount of $4.00 coffee in the mixture)
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Cheers,
Stan H.
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