SOLUTION: Tammy's Gourmet Coffee Shop mixes French vanilla coffee, which sells for $9.50 per pound, with hazelnut coffee, which sells for $7.00 per pound. The mix, called Croissant blend se
Algebra.Com
Question 55611: Tammy's Gourmet Coffee Shop mixes French vanilla coffee, which sells for $9.50 per pound, with hazelnut coffee, which sells for $7.00 per pound. The mix, called Croissant blend sells for $8.50 per pound. If Tammy wishes to make 20 pounds of the blend, how many pounds of each should she use?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Tammy's Gourmet Coffee Shop mixes French vanilla coffee, which sells for $9.50 per pound, with hazelnut coffee, which sells for $7.00 per pound. The mix, called Croissant blend sells for $8.50 per pound. If Tammy wishes to make 20 pounds of the blend, how many pounds of each should she use?
-----------------
Let amount of French coffee be "x" ; Value of this is 9.50x dollars
Amount of hazelnut coffee is "20-x"; Value of this is 7(20-x)=140-7x dollars
Amount of mix is 20 lbs. ; Value of this is 8.50(20)=170
EQUATION:
value + value = value
9.5x + 140-7x = 170
2.5x=30
x=12 lbs. (amount of French coffee)
20-x=20-12= 8 lbs (amount of hazelnut coffee)
Cheers,
Stan H.
RELATED QUESTIONS
Michael's Coffee Shop sells a special blend called Mike's Favorite. For the blend,... (answered by Nate)
Cathy's Coffee Cafe sells gourmet coffee mixes by the pound. How many pounds of $7.28... (answered by checkley75)
A coffee shop owner blends gourmet coffee brand with a cheaper brand. The gourmet coffee... (answered by mananth)
A richly flavored coffee sells for $7 per pound and a hazelnut coffee sells for $4 per... (answered by richwmiller)
A coffee manufacturer sells a 10-pound package of coffee that consists of three flavors... (answered by josgarithmetic,ikleyn)
a supermarket mixes coffee that sells for $3.60 per pond with coffee that sells for $7.20 (answered by greenestamps)
help a coffee shop manager to find the amount of a certain type of coffee that sells for... (answered by josgarithmetic,greenestamps)
The coffee counter charges $10 per pound for Kenyan French roast coffee and $9 per pound... (answered by josgarithmetic,ikleyn)
HELP!!!! Ive been trying to solve this most irritating word problem and I cant manage to... (answered by jim_thompson5910)