A fruit is composed of 80% water. After letting it dry under the sun, the water content reduced to 10%. If the initial weight was 225 grams, what is the current weight?
Question
A fruit is composed of 80% water. After letting it dry under the sun, the water content reduced to 10%. If the initial weight was 225 grams, what is the current weight?
Solution
Sure, let's solve this step by step:
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First, we need to find out how much of the fruit's initial weight was not water. Since the fruit was 80% water, it was 20% not water. So, we calculate 20% of 225 grams: 0.20 * 225 = 45 grams. This is the weight of the non-water part of the fruit, which doesn't change when the fruit dries.
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After the fruit dries, this non-water part makes up 90% of the fruit's weight (since the water content is now 10%). So, if 90% of the weight is 45 grams, we can find out the total weight by dividing the non-water weight by 0.90: 45 / 0.90 = 50 grams.
So, the current weight of the fruit after drying is 50 grams.
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