SOLUTION: how many pounds of coffee worth $8.00 should be added to 10 pounds of coffee worth $5.00 a pound to get a mixture worth $6.00 a pound

Algebra.Com
Question 275342: how many pounds of coffee worth $8.00 should be added to 10 pounds of coffee worth $5.00 a pound to get a mixture worth $6.00 a pound
Found 2 solutions by stanbon, dabanfield:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
how many pounds of coffee worth $8.00 should be added to 10 pounds of coffee worth $5.00 a pound to get a mixture worth $6.00 a pound
-------
Equation:
value + value = value
8x + 5*10 = 6(x+10)
8x + 5*10 = 6x + 6*10
2x = 10
x = 5 lbs: (amt. of $8 coffee needed in the mixture)
==================
Cheers,
Stan H.

Answer by dabanfield(803)   (Show Source): You can put this solution on YOUR website!
how many pounds of coffee worth $8.00 should be added to 10 pounds of coffee worth $5.00 a pound to get a mixture worth $6.00 a pound
Let x be the amount of $8.00 coffee. Then when we are finished the total amount of $6.00 coffee we will have is 10 + x.
So:
10*5.00 + x*8.00 = (10+x)*6.00
50 + 8x = 60 + 6x
2x = 10
x = 5

RELATED QUESTIONS

a coffee company wants a new favor of Cajun coffee. How many pounds of coffee worth $10... (answered by stanbon)
a coffee company wants a new flavor of Cajun coffee. How many pounds of coffee worth $10 (answered by nerdybill)
A coffee company wants a new flavor of Cajun coffee. How many pounds of coffee worth $10... (answered by ikleyn)
A coffee company wants a new flavor of Cajun coffee. How many pounds fo coffee worth 10 a (answered by Boreal)
a coffee company wants a new flavor of Cajun coffee. How many pounds of coffee worth $7 a (answered by richwmiller)
A coffee company wants a new flavor of Cajun coffee. How many pounds of coffee worth $7 a (answered by mananth)
a coffee company wants a new flavor of cajan coffee. How many pounds of coffee worth $7 a (answered by mananth)
A coffee company wants a new flavor of Cajun coffee. How many pounds of coffee worth $7 a (answered by josmiceli)
Community Coffee Co. wants a new flavor of Cajun coffee. How many pounds of coffee worth... (answered by jorel1380)