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Question

A candy distributor needs to mix a 20% fat-content chocolate with a 50% fat-content chocolate to create 200 kilograms of a 29% fat-content chocolate. How many kilograms of each kind of chocolate must they use?

Answer: They must mix

Kilograms of the 20% chocolate and

Kilograms of the 50% chocolate.

Answer 1

Let x = the number of kilograms of 20% fat-content chocolate

Let y = the number of kilograms of 50% fat-content chocolate

x + y = 200     y = 200 - x

.2x + .5(200 - x) = .29(200)

.2x + 100 - .5x = 58

-.3x = -42

x = 140 kg

y = 200 - 140

y = 60 kg