SOLUTION: A grocer combines coffee that costs $8.00 per pound with coffee that costs $3.00 per pound. how many pounds of each should be used to make 80 lbs of a blend that costs $5.00 per po

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A grocer combines coffee that costs $8.00 per pound with coffee that costs $3.00 per pound. how many pounds of each should be used to make 80 lbs of a blend that costs $5.00 per po      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 179076: A grocer combines coffee that costs $8.00 per pound with coffee that costs $3.00 per pound. how many pounds of each should be used to make 80 lbs of a blend that costs $5.00 per pound? i am suppose to have an equation for this also
thank you soo much for helping me out!!
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
let x and y be the amount of $8 per pound coffee and $3 per pound coffee respectively
:
x+y=80...........eq 1
8x+3y=5(80)......eq 2
:
rewrite eq 1 to x=80-y and plug it into eq 2
:
8(80-y)+3y=400
:
640-8y+3y=400
:
-5y=-240
:
highlight%28y=48%29pounds of $3 blend
:
highlight%28x=80-48=32%29pounds of the $8 blend