Fresh grapes contain 90% water by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20kg of fresh grapes?
Question
Fresh grapes contain 90% water by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20kg of fresh grapes?
Solution
Sure, let's solve this step by step:
Step 1: Determine the amount of non-water content in fresh grapes Since fresh grapes contain 90% water, they contain 10% of non-water content. So, in 20kg of fresh grapes, the weight of non-water content is 10% of 20kg = 2kg.
Step 2: Determine the weight of dry grapes In dried grapes, the non-water content makes up 80% of the total weight (since 20% is water). Therefore, to find out the weight of dry grapes, we set up the equation: 80% of weight of dry grapes = 2kg Solving this equation gives us the weight of dry grapes = 2kg / 0.8 = 2.5kg.
So, 20kg of fresh grapes will yield 2.5kg of dried grapes.
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