SOLUTION: Joy is an instructional assistant in one of the college labs. She is on a very tight budget. She loves Jamaican Blue Mountain coffee, but it costs $18 a pound. She decides to blend

Question 211328: Joy is an instructional assistant in one of the college labs. She is on a very tight budget. She loves Jamaican Blue Mountain coffee, but it costs $18 a pound. She decides to blend this with regular coffee beans that costs $2.37 a pound. If she spends $14.25 on 3 pounds of coffee, how many pounds of each did she purchase?
Round your answer to two decimal places.
She purchased______pounds of Jamaican Blue Mountain Coffee.
She purchased______ pounds of Regular Coffee.
i have no idea how to do this!!!!!
please help!
Found 2 solutions by stanbon, checkley77:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
She loves Jamaican Blue Mountain coffee, but it costs $18 a pound. She decides to blend this with regular coffee beans that costs $2.37 a pound. If she spends $14.25 on 3 pounds of coffee, how many pounds of each did she purchase?
Round your answer to two decimal places.
She purchased______pounds of Jamaican Blue Mountain Coffee.
She purchased______ pounds of Regular Coffee.
-----------------------------------------------
Equation:
value + value = value
2.37x + 18(3-x) = 14.25*3
Multiply thru by 100 to get:
237x + 5400 - 1800x = 1425*3
1563x = 1125
x = 0.7198 lb (amount of $2.37 coffee in the mixture)
3-x = 3-(0.7198) = 2.28 lb (amount of Blue Mountain in the mix)
===============================
Cheers,
Stan H.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
18x+2.37(3-x)=3*14.25
18x+7.11-2.37x=42.75
15.63x=42.75-7.11
15.63x=35.64
x=35.64/15.63
x=2.28 pounds of the $18 coffee is used.
3=2.28=.72 pounds of the $2.37 coffee is used.
Proof:
18*2.28+2.37*.72=3*14.25
41.04+1.7=42.75
42.75~42.75
She purchased 2.28 pounds of Jamaican Blue Mountain Coffee.
She purchased .72 pounds of Regular Coffee.

RELATED QUESTIONS
Joy is an instructional assistant in one of the college labs. She is on a very tight... (answered by richwmiller)
Danielle's chemistry professor has a complicated grading system. each lab counts once and (answered by vleith)
Bea Kurr is hired by the local chemical plant to create mixtures for use in various labs... (answered by scott8148)
The probability that joy joins campus is 1/3.if she joins campus,the probability that she (answered by Boreal)
My daughter is helping her neice on an algebra problem. It has been a while since she... (answered by elima)
Mr. McBurney loves hisplants. She knows that 25 of the plants in the his greenhouse use (answered by josgarithmetic,ikleyn)
Joy is riding her bicycle up a hill. After travelling 3km, Joy passes Greg who is walking (answered by mananth)
The Total Return on an investment is the relative change in the investment value:... (answered by Boreal)
Bea Kurr is hired by the local chemical plant to create mixtures for use in various labs... (answered by Paul)