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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 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? Correct Answer 55.6 kg of component A to 44.4kg of component B

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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