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A processing unit is producing a product of 100kg which must contain 15% of fat and this is to be made up from component A with 23% of fat and from component B with 5% of fat. What are the proportions in which these should be mixed?

a) 44.4 kg of component A to 55.6kg of component B
b) 67.87kg of component A to 32.13kg of component B
c) 55.6 kg of component A to 44.4kg of component B
d) 32.13kg of component A to 67.87kg of component B

Answer: c
Explanation: Let the proportions be X of component A to Y of component B
Then by a mass balance on the fat,
(X × 0.23)+ (Y × 0.05) = (X+Y) × 0.15
A (0.23-0.15) = B (0.15-0.05)
A (0.08) =B (0.10)
A/B= 5/9
Therefore, 100kg of product will have 55.6 kg of component A to 44.4kg of component B.

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