SOLUTION: A coffee wholesaler wants to blend a coffee containing 35% chicory with a coffee containing 15% chicory to produce a 500 kilogram blend of coffee containing 18% chicory. How much o

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A coffee wholesaler wants to blend a coffee containing 35% chicory with a coffee containing 15% chicory to produce a 500 kilogram blend of coffee containing 18% chicory. How much o      Log On


   

Question 343059: A coffee wholesaler wants to blend a coffee containing 35% chicory with a coffee containing 15% chicory to produce a 500 kilogram blend of coffee containing 18% chicory. How much of each type is required?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A coffee wholesaler wants to blend a coffee containing 35% chicory with a coffee containing 15% chicory to produce a 500 kilogram blend of coffee containing 18% chicory. How much of each type is required?
------------------
Equation:
chicory + chicory = chicory
0.35x + 0.15(500-x) = 0.18(500)
---
Multiply thru by 100 to get:
35x + 15*500 - 15x = 18*500
20x = 3*500
x = 75 kg (amt. of 35% coffee needed in the mixture)
---
500-x = 425 kg (amt of 15% coffee needed in the mixture)
---
Cheers,
Stan H.