SOLUTION: A candy distributor needs to mix a 10% fat-content chocolate with a 50% fat-content chocolate to create 200 kilograms of a 20% fat-content chocolate. How many kilograms of each kin

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Question 832135: A candy distributor needs to mix a 10% fat-content chocolate with a 50% fat-content chocolate to create 200 kilograms of a 20% fat-content chocolate. How many kilograms of each kind of chocolate must they use?
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!
u = how much of the 10% fat
v = how much of the 50% fat

and

How these are made and what to do with them, see the lesson, "Mixing two concentrations for known amount of mixture", through my profile page.

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = kg of 10% fat chocolate needed
Let = kg of 50% fat chocolate needed
------------------
(1)
(2)
----------------------------
(2)
(2)
(2)
Subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
150 kg of 10% fat chocolate is needed
50 kg of 50% fat chocolate is needed
check:
(2)
(2)
(2)
(2)
(2)
OK