SOLUTION: A bulk store has two types of mixed nuts: One is 60% peanuts, and the other is 35% peanuts. How many pounds of each type should be mixed to get 8 pounds of a mixture that is

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A bulk store has two types of mixed nuts: One is 60% peanuts, and the other is 35% peanuts. How many pounds of each type should be mixed to get 8 pounds of a mixture that is      Log On


   

Question 1056079: A bulk store has two types of mixed nuts: One is 60% peanuts, and the other is 35%
peanuts. How many pounds of each type should be mixed to get 8 pounds of a
mixture that is 50% peanuts?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A bulk store has two types of mixed nuts: One is 60% peanuts, and the other is 35% peanuts. How many pounds of each type should be mixed to get 8 pounds of a
mixture that is 50% peanuts?
----------------------
peanuts + peanuts = peanuts
-----------------------
0.60x + 0.35(8-x) = 0.50*8
------
60x + 35*8 - 35x = 50*8
-----------------------
25x = 15*8
-----
x = (3/5)8 = 24/5 = 4.8 lbs (amt of 60% mix needed)
8-x = 3.2 lbs (amt. of 35% mix needed)
------------
Cheers,
Stan H.
-----------