A candy distributor needs to mix a 10% fat-content chocolate with a 60% fat-content chocolate to create 100 kilograms of a 50% fat-content chocolate.

Question

A candy distributor needs to mix a 10% fat-content chocolate with a 60% fat-content chocolate to create 100 kilograms of a 50% 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.

Answer 1

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fat + fat = fat

0.10x + 0.60(100-x) = 0.50*100

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10x + 60*100 - 60x = 50*100

-50x = -10 * 100

x = (1/5)*100

x = 20 kg (amt. of 10% needed)

100-x = 80 kg (amt. of 60% needed)