Directions for question 1: Select the correct alternative from the given choices.The average weights of three sections A, B and C in a school are 51 kg, 60 kg and 72 kg respectively. The average weight of sections A and B is 56 kg while that of sections B and C is 67 kg. Find the average weight of all the 3 sections.66 kg63 kg69 kg60 kg
Question
Directions for question 1: Select the correct alternative from the given choices.The average weights of three sections A, B and C in a school are 51 kg, 60 kg and 72 kg respectively. The average weight of sections A and B is 56 kg while that of sections B and C is 67 kg. Find the average weight of all the 3 sections.66 kg63 kg69 kg60 kg
Solution
To solve this problem, we need to use the formula for average weight, which is the total weight divided by the number of sections.
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We know that the average weight of sections A and B is 56 kg. This means that the total weight of A and B is 56 * 2 = 112 kg.
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Similarly, the average weight of sections B and C is 67 kg. So, the total weight of B and C is 67 * 2 = 134 kg.
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If we add these two totals together, we get 112 + 134 = 246 kg. But we have counted the weight of section B twice.
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To get the correct total weight, we need to subtract the weight of section B once. We know that the average weight of section B is 60 kg, so the total weight of all three sections is 246 - 60 = 186 kg.
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Finally, to find the average weight of all three sections, we divide the total weight by the number of sections. So, the average weight is 186 / 3 = 62 kg.
So, the correct answer is not listed in the options. There might be a mistake in the question or the options provided.
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