SOLUTION: A candy distributor needs to mix a 10% fat-content chocolate with a 60% fat-content chocolate to create 100 kilograms of a 25% fat-content chocolate. How many kilograms of each kin

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: A candy distributor needs to mix a 10% fat-content chocolate with a 60% fat-content chocolate to create 100 kilograms of a 25% fat-content chocolate. How many kilograms of each kin      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1129870: A candy distributor needs to mix a 10% fat-content chocolate with a 60% fat-content chocolate to create 100 kilograms of a 25% fat-content chocolate. How many kilograms of each kind of chocolate must they use?
___ Kilograms of the 10% chocolate and
___ Kilograms of the 60% chocolate.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
x= amount of 60% fat chocolate
M-x, amount of 10% fat chocolate
M=100 kg
L= 10 %
H = 60%
T =25 %

Hx%2BL%28M-x%29=TM

Hx%2BLM-Lx=TM
Hx-Lx=TM-LM
%28H-L%29x=TM-LM
highlight%28x=%28TM-LM%29%2F%28H-L%29%29
Substitute the given values to find x and then evaluate M-x.