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A chocolate product consists by weight of 24.4% sugar, 60.5% cocoa, and a number of seasonings. How many kilograms do the seasonings weigh in a 110 KG batch of the product?

A. 12.1 kg
B. 66.5 kg
C. 24.4 kg
D. 60.5 kg

User Flyingbin
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1 Answer

5 votes

Final answer:

After calculating the weights of sugar and cocoa in a 110 kg batch of chocolate, which amount to 93.39 kg combined, the remaining weight is 16.61 kg for the seasonings. None of the answer choices match this value, indicating a possible error in the question.

Step-by-step explanation:

To determine the weight of the seasonings in the chocolate product, we first need to calculate the combined weight of sugar and cocoa in the 110 kg batch.

The batch has 24.4% sugar, which equals 0.244 × 110 kg = 26.84 kg of sugar. The batch also has 60.5% cocoa, which equals 0.605 × 110 kg = 66.55 kg of cocoa. Adding the weight of the sugar and cocoa gives us 26.84 kg + 66.55 kg = 93.39 kg.

To find the weight of the seasonings, we subtract the total weight of sugar and cocoa from the total weight of the batch: 110 kg - 93.39 kg = 16.61 kg. Therefore, the seasonings weigh 16.61 kg, which is not listed in the options provided, suggesting there may have been a typographical error.

User Iulian Rosca
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