A coconut contains 40% of water by its weight. A coconut seller weighed 12 coconuts without water and found that it weighs 7.2 kg. Find the weight of water in 15 coconuts.
Question
A coconut contains 40% of water by its weight. A coconut seller weighed 12 coconuts without water and found that it weighs 7.2 kg. Find the weight of water in 15 coconuts.
Solution
Sure, let's solve this step by step:
Step 1: First, we need to find the weight of one coconut without water. We know that 12 coconuts weigh 7.2 kg, so one coconut would weigh 7.2 kg / 12 = 0.6 kg.
Step 2: Now, we know that this weight is 60% of the total weight of the coconut (since 40% of the weight is water). So, the total weight of one coconut would be 0.6 kg / 60% = 1 kg.
Step 3: The weight of the water in one coconut would be 40% of the total weight, so it would be 1 kg * 40% = 0.4 kg.
Step 4: Finally, the weight of the water in 15 coconuts would be 15 * 0.4 kg = 6 kg.
So, the weight of the water in 15 coconuts is 6 kg.
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