The average weight of 11 children is 11 kg. The average weight of first five children is 9 kg, whereas the average weight of last five children is 13 kg. What is the weight of the sixth child
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Mariam: Let x be the average weight
First case: Sum of weights of people / 8 people = x
So the sum of weights of people = 8x
Second case: Sum of weights of people / 8 people = x + 2.5
So the sum of weights of people here is 8(x + 2.5) = 8x + 20
So the difference between both sums is essentially the new heavier person that was added which is:
8x + 20 - 8x = 20
So the new guy weights 20kg more than the old guy.
So new guy weights: 65 + 20 = 85kg
Riya said: (Nov 8, 2010)
Thank you. I was confused earlier. Your explanation has cleared it all. :).
Explanation:
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