How many parts by weight of 30% fat cream and 4% fat milk must be mixed to milk to testing 5% fat?

LPT-0134

QUESTION

How many parts by weight of 30% fat cream and 4% fat milk must be mixed to milk to testing 5% fat?

OPTIONS

(A) 2 parts of 30% fat cream and 15 parts of 4% fat milk must be mixed
(B) 3 parts of 30% fat cream and 18 parts of 4% fat milk must be mixed
(C) 1 part of 30% fat cream and 25 parts of 4% fat milk must be mixed
(D) 1 part of 30% fat cream and 20 parts of 4% fat milk must be mixed

ANSWER

(C) 1 part of 30% fat cream and 25 parts of 4% fat milk must be mixed

EXPLANATION

Using Pearson’s square for 30% cream and 4% milk to obtain 5% fat gives 1 part of cream to 25 parts of 4% milk, because 5−4 = 1 and 30−5 = 25. The other ratios would produce mixtures with fat percentages above the required 5%. Hence, option (C) is correct.

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