A distributor needs to mix a 20% fat-content chocolate with a 40% chocolate to create 200 kilograms of a 37% chocolate. How manA candy distributor needs to mix a 20% fat-content chocolate with a 40% fat-content chocolate to create 200 kilograms of a 37% fat-content chocolate. How many kilograms of each kind of chocolate must they use?y kilograms of each kind of chocolate must they use
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Ok. So our end result is 200 kg of 37% fat chocolate. Therefore, the total mass of fat needed is .37*200=74 kg of fat.
let a=mass of chocolate with 20% fat. let b=mass of chocolate with 40% fat.
our end product weighs 200 kg, so a+b=200
our end product is 37% fat, so (.2a+.4b)/200=0.37.
we rearrange the first equation a+b=200 to make a=200-b
we can substitute (200-b) for the variable 'a' in the second equation
now go back to your original equation:
you use 170 kg of 40% fat chocolate, and 30 kg of 20% fat chocolate.
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