Fresh sugarcane contains 84% water and dried sugarcane contains 28% water. How many kilograms of dried sugarcane can be obtained from 90 kg of fresh sugarcane?a.50b.40c.20d.30
Question
Fresh sugarcane contains 84% water and dried sugarcane contains 28% water. How many kilograms of dried sugarcane can be obtained from 90 kg of fresh sugarcane?a.50b.40c.20d.30
Solution
To solve this problem, we first need to determine the amount of sugar in the fresh sugarcane.
Step 1: Calculate the amount of sugar in the fresh sugarcane Since fresh sugarcane is 84% water, it means that 16% of it is sugar. So, the amount of sugar in 90 kg of fresh sugarcane is 16/100 * 90 = 14.4 kg.
Step 2: Calculate the amount of dried sugarcane In dried sugarcane, the amount of sugar remains the same but the water content is reduced to 28%, meaning sugar now makes up 72% of the dried sugarcane. Therefore, to find out the total weight of the dried sugarcane, we divide the weight of the sugar by the percentage of sugar in the dried sugarcane: 14.4 kg / (72/100) = 20 kg.
So, the answer is c. 20 kg.
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