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When drying a product from 24% to 14%, what is the final weight of 9 tons?

7.9 tons

8.9 tons

To determine the final weight of a product after drying from 24% moisture content to 14% moisture content, it is essential to understand how moisture content is calculated and how it affects the final weight.

Initially, the product is 24% moisture. This means that out of the total weight, 24% is water. If we start with 9 tons of the product, we can calculate the weight of the actual dry matter. The dry matter can be calculated by determining the portion of the weight that is not water:

- The percentage of dry matter at 24% moisture is 76% (100% - 24%).

- Thus, the weight of the dry matter in the initial 9 tons is calculated as follows:

\[ \text{Weight of dry matter} = 9 \, \text{tons} \times 0.76 = 6.84 \, \text{tons} \]

Now, when the product is dried to 14% moisture, we need to find out what total weight would yield that percentage of moisture. At 14% moisture, the dry matter constitutes 86% of the total weight (100% - 14%).

Let \( x \) be the final weight after

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9.9 tons

10.9 tons

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