SOLUTION: A candy distributor needs to mix a 10% fat-content chocolate with a 60% fat-content chocolate to create 200 kilograms of a 45% fat-content chocolate. How many kilograms of each kin

Question 1042372: A candy distributor needs to mix a 10% fat-content chocolate with a 60% fat-content chocolate to create 200 kilograms of a 45% fat-content chocolate. How many kilograms of each kind of chocolate must they use?
Answer: They must mix
Kilograms of the 10% chocolate and
Kilograms of the 60% chocolate.
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A candy distributor needs to mix a 10% fat-content chocolate with a 60% fat-content chocolate to create 200 kilograms of a 45% fat-content chocolate. How many kilograms of each kind of chocolate must they use?
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fat + fat = fat
0.10x + 0.60(200-x) = 0.45*200
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10x + 60*200 - 60x = 45*200
-50x = -15*200
x = (3/10)*200
x = 60 kg (amt. of 10% needed)
200-x = 140 kg (amt. of 60% needed)
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Cheers,
Stan H.
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Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = kg of the 10% chocolate needed
Let = kg of the 60% chocolate needed
----------------------------------------
(1)
(2)
-------------------------------
(2)
(2)
(2)
Subtract (1) from (2)
(2)
(1)
----------------------

and
(1)
(1)
(1)
----------------------
60 kg of the 10% chocolate are needed
140 kg of the 60% chocolate are needed
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check:
(2)
(2)
(2)
(2)
OK
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