+1 vote
in Food Processing Unit Operations by (110k points)
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

This question was addressed to me during a job interview.

The question is from Material and Energy Balances topic in chapter Material & Energy Balances of Food Processing Unit Operations

1 Answer

+2 votes
by (736k points)
selected by
Best answer
Right answer is (c) 55.6 kg of component A to 44.4kg of component B

To explain: 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.

Related questions

We welcome you to Carrieradda QnA with open heart. Our small community of enthusiastic learners are very helpful and supportive. Here on this platform you can ask questions and receive answers from other members of the community. We also monitor posted questions and answers periodically to maintain the quality and integrity of the platform. Hope you will join our beautiful community