If fresh grapes contain 80% water and 20% pulp, by weight, and 10 kg of fresh grapes yield 2.5 kg of dry grapes, then find the percentage of pulp, by weight, in dry grapes.20%40%75%
Question
If fresh grapes contain 80% water and 20% pulp, by weight, and 10 kg of fresh grapes yield 2.5 kg of dry grapes, then find the percentage of pulp, by weight, in dry grapes.20%40%75%
Solution
Sure, let's solve this step by step:
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In 10 kg of fresh grapes, since they contain 20% pulp, the weight of the pulp is 20/100 * 10 kg = 2 kg.
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When these grapes are dried, the water content is reduced but the pulp remains the same. So, the weight of the pulp in 2.5 kg of dry grapes is still 2 kg.
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Now, we need to find the percentage of pulp in dry grapes. The percentage is given by (weight of pulp / total weight) * 100.
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Substituting the given values, we get (2 kg / 2.5 kg) * 100 = 80%.
So, the percentage of pulp, by weight, in dry grapes is 80%.
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