SOLUTION: A chocolate shop makes a dark chocolate that is 35% fat and a white chocolate that is 48% fat. How many kilograms of dark chocolate should be mixed with 50 kilograms of white choco

Question 1032648: A chocolate shop makes a dark chocolate that is 35% fat and a white chocolate that is 48% fat. How many kilograms of dark chocolate should be mixed with 50 kilograms of white chocolate to make a ripple blend that is 40% fat?
This is the problem I'm working on. I've tried several different formulas but can't seem to get the right one. I think the ratio I need is x/50 because I know the white chocolate but need the dark chocolate. 40= ? Feel like am going round and round on this one.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Okay, let us call the number of kg of 35% fat dark chocolate, x.
Remember if I add x to 50 kg, I get x+50 kg...
Then the set up looks like this:
(.35)x + (.48)(50) = (.40)(x+50)
Now distribute...
.35x + 24 = .40x + 20
Now subtract .35x and then subtract 20 from both sides...we get
24 = .05x + 20
4 = .05x
Now divide by .05 and get
x = 4/.05 = 80 kg of 35% fat
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